XY = [
0 0
0.0588235 0.0588235
0.117647 0.117647
0.176471 0.176471
0.235294 0.235294
0.294118 0.294118
0.352941 0.352941
0.411765 0.411765
0.470588 0.470588
0.529412 0.529412
0.588235 0.588235
0.647059 0.647059
0.705882 0.705882
0.764706 0.764706
0.823529 0.823529
0.882353 0.882353
0.941176 0.941176
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.54616 0.646979 0.740673 0.820779 1.06068 1.3206 1.43183 1.5554 1.59213 1.44007 1.40924 1.2985 1.04586 0.847092 0.686561 0.557325 0.52015 
0.0798963 0.214703 0.416141 0.763915 1.2211 1.64218 1.85124 2.00345 2.04299 1.93143 1.85866 1.56034 1.05953 0.631042 0.31191 0.11235 0.0424609 
-0.388152 -0.177434 0.23424 0.800857 1.3849 1.92327 2.28979 2.52002 2.58961 2.50227 2.23231 1.67926 1.0081 0.408642 -0.0534512 -0.334836 -0.439804 
-0.637732 -0.304225 0.257379 0.922587 1.54075 2.06199 2.52098 2.7699 2.77543 2.57917 2.12586 1.53592 0.882542 0.24793 -0.270971 -0.609096 -0.735522 
-0.584608 -0.251376 0.281118 0.91412 1.49791 1.97888 2.38672 2.56105 2.51247 2.30998 1.88645 1.32503 0.747733 0.204141 -0.26084 -0.57302 -0.689377 
-0.292737 -0.0398881 0.365563 0.868221 1.34704 1.78098 2.09134 2.2285 2.24196 2.08879 1.73525 1.22989 0.740858 0.307389 -0.0522097 -0.294351 -0.380145 
0.162834 0.328897 0.588916 0.897074 1.20883 1.523 1.7164 1.80716 1.82105 1.65408 1.45669 1.19512 0.835424 0.517735 0.289276 0.132397 0.0936079 
0.715973 0.770649 0.893465 0.984402 1.09204 1.22327 1.27555 1.29241 1.28324 1.15944 1.11431 1.02967 0.835294 0.751721 0.698824 0.641757 0.680527 
1.2844 1.20521 1.21608 1.10377 0.986297 0.916375 0.828829 0.77456 0.771456 0.77476 0.851843 0.848682 0.874392 1.04825 1.17197 1.22624 1.33949 
1.73458 1.63412 1.56332 1.24706 0.887187 0.613192 0.404965 0.292756 0.289919 0.373349 0.518036 0.6664 0.961355 1.33829 1.58525 1.70496 1.82892 
2.28302 2.18342 1.91357 1.34911 0.766167 0.30143 -0.0162703 -0.176418 -0.19895 -0.101239 0.117363 0.510742 1.02245 1.55986 1.95599 2.17073 2.31458 
2.7206 2.46276 1.95168 1.29256 0.622414 0.0417389 -0.375669 -0.593732 -0.615479 -0.439228 -0.0452658 0.548503 1.18086 1.76152 2.25393 2.60942 2.75906 
2.58271 2.2391 1.71515 1.12089 0.50205 -0.0585449 -0.483369 -0.716962 -0.728187 -0.500757 -0.0320946 0.600337 1.25612 1.80139 2.27803 2.63559 2.70322 
2.31544 2.04211 1.54399 0.979979 0.474104 0.0153731 -0.339485 -0.535261 -0.53868 -0.340863 0.048898 0.591724 1.16512 1.66514 2.08915 2.35222 2.40299 
2.00186 1.77225 1.43045 1.00506 0.589216 0.246075 -0.00530611 -0.14301 -0.134898 0.00914171 0.281853 0.663959 1.07662 1.47179 1.81059 1.98328 2.06933 
1.48121 1.32625 1.223 0.991667 0.724109 0.554747 0.419664 0.357936 0.395804 0.474788 0.636504 0.835286 1.03887 1.26572 1.4573 1.52487 1.57271 
0.988974 0.957077 0.976273 0.869892 0.853104 0.924358 0.927739 0.972262 1.03246 0.988127 1.02685 1.05592 1.03154 1.05431 1.06795 1.03346 1.03714 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 16, ux');
U = [1.51643 1.98687 2.56155 2.70924 2.43575 2.189 1.7521 1.22437 0.766207 0.319591 -0.165562 -0.552317 -0.645035 -0.464853 -0.0792986 0.428169 1.01191 
1.40972 1.89953 2.4002 2.37921 2.12494 1.93786 1.5548 1.1234 0.80953 0.446016 -0.00823963 -0.272325 -0.294497 -0.168563 0.130064 0.545249 0.994176 
1.38294 1.75296 1.98736 1.84084 1.61353 1.49154 1.34127 1.09415 0.8671 0.582386 0.290148 0.235752 0.271871 0.306437 0.462031 0.735895 1.05444 
1.17337 1.31233 1.34212 1.21414 1.0334 0.976595 1.02106 0.928088 0.838701 0.794188 0.760145 0.868453 0.935493 0.884431 0.873262 0.935361 1.04101 
0.937474 0.830949 0.694618 0.555931 0.470511 0.517855 0.663634 0.779433 0.953065 1.15074 1.29345 1.48002 1.54472 1.42469 1.27433 1.14884 1.03757 
0.765367 0.457668 0.156656 -0.0306573 -0.0433456 0.115083 0.395112 0.729727 1.12793 1.49037 1.78838 2.02108 2.04268 1.88894 1.65862 1.37638 1.06887 
0.613634 0.196147 -0.217334 -0.465458 -0.439174 -0.190243 0.199434 0.662786 1.19256 1.64322 2.07348 2.45352 2.48836 2.24886 1.91465 1.50017 1.05054 
0.526879 0.0617641 -0.407788 -0.699595 -0.657799 -0.358906 0.096675 0.651091 1.28657 1.78021 2.2582 2.71105 2.70143 2.39894 2.03574 1.55297 1.03223 
0.5273 0.0491872 -0.433555 -0.715226 -0.665368 -0.357766 0.117201 0.70507 1.33882 1.80927 2.31911 2.76175 2.664 2.37585 2.06182 1.55136 1.02398 
0.585899 0.136729 -0.303221 -0.501824 -0.446261 -0.186188 0.232365 0.731148 1.22521 1.66353 2.23618 2.62496 2.44246 2.20871 1.9009 1.39426 0.957996 
0.706485 0.304737 -0.000397018 -0.0465741 -0.00539935 0.144675 0.449842 0.831799 1.21697 1.62061 2.08936 2.23443 1.98974 1.81453 1.61652 1.27949 0.976237 
0.764691 0.569517 0.510001 0.587209 0.593806 0.613149 0.74033 0.942224 1.17399 1.43121 1.65376 1.63138 1.42517 1.25768 1.22121 1.12776 0.93208 
0.924069 0.985249 1.09258 1.24496 1.22068 1.11392 1.05259 1.03248 1.03607 1.05653 1.04528 0.951594 0.809253 0.720797 0.791596 0.845887 0.839134 
1.20358 1.45201 1.66944 1.80933 1.74654 1.57128 1.36983 1.16001 0.950328 0.741426 0.517454 0.315851 0.209471 0.236801 0.406262 0.63111 0.891358 
1.39091 1.76922 2.12893 2.30422 2.19887 1.95921 1.64218 1.26333 0.875331 0.500074 0.122612 -0.190865 -0.29231 -0.179389 0.108745 0.484044 0.933958 
1.48316 1.92568 2.41981 2.68214 2.51111 2.17728 1.76413 1.27895 0.791059 0.334122 -0.115491 -0.50986 -0.626266 -0.459768 -0.0914006 0.3736 0.935194 
1.60765 2.05305 2.57862 2.79503 2.55453 2.25204 1.83621 1.30399 0.773505 0.280096 -0.202679 -0.628941 -0.751751 -0.562069 -0.15694 0.369974 1.01706 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 16, uy');
P = [-1.10471 -0.785575 -0.399002 0.0250421 -0.00919162 -0.531428 -0.955365 -1.20914 -1.21839 -0.952532 -0.611006 -0.192507 0.0589226 -0.153444 -0.638794 -1.08459 -1.27775 
-0.789063 -0.455238 0.0487635 0.488855 0.348399 -0.0783881 -0.425004 -0.780759 -0.877829 -0.638281 -0.233223 0.286042 0.564945 0.317259 -0.225644 -0.712911 -0.917491 
-0.406856 0.0256203 0.641456 1.0156 0.858778 0.518235 0.0368806 -0.467728 -0.533453 -0.199411 0.33779 0.907688 1.11948 0.819898 0.243889 -0.282504 -0.523286 
-0.0181692 0.485179 1.07923 1.33028 1.18011 0.781935 0.174197 -0.223406 -0.138038 0.237326 0.760079 1.21565 1.34431 1.0735 0.543441 0.0412752 -0.183482 
0.00926569 0.502194 1.02473 1.25523 1.11797 0.646633 0.0964255 -0.134676 -0.0927023 0.135172 0.605485 1.06141 1.19924 0.950099 0.466977 0.0109082 -0.178624 
-0.385189 0.0578259 0.545061 0.824127 0.72211 0.263928 -0.220014 -0.489732 -0.59225 -0.355462 0.238285 0.70627 0.754664 0.477479 0.0276634 -0.391038 -0.557015 
-0.880146 -0.492836 -0.0432044 0.270691 0.218931 -0.201716 -0.67098 -0.995926 -1.08015 -0.718261 -0.1548 0.14062 0.159089 -0.0296008 -0.448217 -0.851322 -1.01946 
-1.22605 -0.860284 -0.447661 -0.116441 -0.128259 -0.514241 -0.970769 -1.30838 -1.35064 -0.996961 -0.605762 -0.343406 -0.133746 -0.261445 -0.755415 -1.18235 -1.36407 
-1.22959 -0.886418 -0.507885 -0.150575 -0.131806 -0.513398 -0.989273 -1.33606 -1.3517 -1.04583 -0.714239 -0.331926 -0.0340458 -0.304766 -0.865477 -1.23982 -1.39464 
-0.948139 -0.644792 -0.225459 0.201594 0.229932 -0.186057 -0.706459 -1.05713 -1.0635 -0.807543 -0.434967 0.0485533 0.272214 -0.106138 -0.556504 -0.867662 -1.06578 
-0.606348 -0.219927 0.326191 0.796991 0.783863 0.312959 -0.264215 -0.654192 -0.703832 -0.453101 0.0376432 0.609858 0.745202 0.418933 0.0573476 -0.394424 -0.721349 
-0.172288 0.315175 0.897298 1.26597 1.18675 0.723966 0.145407 -0.257328 -0.309787 0.012268 0.600848 1.12969 1.17732 0.904846 0.446805 -0.148628 -0.401181 
0.0963404 0.494779 0.985829 1.29082 1.23132 0.82608 0.300691 -0.0656678 -0.0815173 0.28324 0.862888 1.28495 1.31054 1.01358 0.449141 -0.0463338 -0.118009 
-0.250129 0.130434 0.695806 1.01301 0.917645 0.522865 0.0380189 -0.291595 -0.289866 0.0581916 0.584951 0.989386 1.06164 0.745774 0.19976 -0.180422 -0.300502 
-0.77264 -0.254155 0.30352 0.487904 0.351143 0.00033967 -0.44993 -0.750533 -0.75687 -0.453546 0.0162943 0.429342 0.559953 0.276694 -0.227451 -0.622159 -0.846531 
-1.09957 -0.610237 -0.245453 -0.0833921 -0.0676884 -0.379574 -0.853413 -1.16157 -1.19031 -0.916386 -0.496217 -0.0926867 0.0825853 -0.160798 -0.631867 -1.03759 -1.26164 
-1.25669 -0.880589 -0.567099 -0.232484 -0.134191 -0.565431 -1.08362 -1.38191 -1.396 -1.10699 -0.722775 -0.331688 -0.123679 -0.336835 -0.794367 -1.21599 -1.4322 
];
figure;
plot3(X,Y,P,'.b','MarkerSize',5);
title('N = 16, p');
XY = [
0 0
0.030303 0.030303
0.0606061 0.0606061
0.0909091 0.0909091
0.121212 0.121212
0.151515 0.151515
0.181818 0.181818
0.212121 0.212121
0.242424 0.242424
0.272727 0.272727
0.30303 0.30303
0.333333 0.333333
0.363636 0.363636
0.393939 0.393939
0.424242 0.424242
0.454545 0.454545
0.484848 0.484848
0.515152 0.515152
0.545455 0.545455
0.575758 0.575758
0.606061 0.606061
0.636364 0.636364
0.666667 0.666667
0.69697 0.69697
0.727273 0.727273
0.757576 0.757576
0.787879 0.787879
0.818182 0.818182
0.848485 0.848485
0.878788 0.878788
0.909091 0.909091
0.939394 0.939394
0.969697 0.969697
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.754276 0.765086 0.78424 0.81112 0.844714 0.883935 0.927471 0.973654 1.02083 1.06727 1.11115 1.15083 1.18502 1.21251 1.23227 1.24363 1.24626 1.23994 1.22492 1.20176 1.17117 1.13428 1.09242 1.04705 0.999893 0.952723 0.907325 0.865388 0.828409 0.797677 0.774248 0.758915 0.752181 
0.436297 0.461468 0.505907 0.568078 0.645819 0.736497 0.836882 0.943287 1.05187 1.15856 1.25925 1.35032 1.42864 1.49142 1.53641 1.5621 1.56764 1.5527 1.51785 1.46436 1.39391 1.30905 1.2128 1.10856 1.00023 0.891889 0.787599 0.691214 0.606208 0.535578 0.481766 0.446605 0.431276 
0.137972 0.176605 0.244765 0.340123 0.459385 0.598359 0.75207 0.914995 1.08118 1.24432 1.39829 1.53757 1.65729 1.75318 1.82187 1.86098 1.86923 1.84623 1.79282 1.71084 1.60295 1.47305 1.32576 1.16631 1.00062 0.834926 0.675401 0.527928 0.397836 0.289735 0.207385 0.153603 0.130205 
-0.130124 -0.0793292 0.010256 0.135552 0.292153 0.474501 0.676157 0.889897 1.10779 1.3216 1.52344 1.70607 1.86299 1.98865 2.07867 2.12989 2.14057 2.1103 2.04011 1.93237 1.79076 1.62039 1.42726 1.21822 1.00103 0.783849 0.574734 0.381363 0.210726 0.0688979 -0.0391571 -0.109716 -0.140379 
-0.358298 -0.297099 -0.18921 -0.0384022 0.149987 0.369321 0.611883 0.868878 1.1307 1.38758 1.63015 1.84965 2.03824 2.18924 2.29741 2.35892 2.37163 2.33509 2.2505 2.1208 1.95055 1.74575 1.51358 1.26234 1.00139 0.74048 0.489244 0.256856 0.0517047 -0.118881 -0.248888 -0.333794 -0.370679 
-0.537945 -0.468551 -0.346228 -0.175284 0.0382482 0.286856 0.561688 0.852668 1.14898 1.43971 1.71429 1.96283 2.17641 2.34743 2.46992 2.53954 2.55384 2.51232 2.41638 2.2694 2.07652 1.84446 1.58142 1.29694 1.00161 0.706376 0.422077 0.159036 -0.0732656 -0.266518 -0.413867 -0.510137 -0.551976 
-0.66181 -0.586711 -0.454339 -0.269362 -0.0383179 0.230595 0.527684 0.842048 1.16211 1.4762 1.77291 2.04153 2.27243 2.45732 2.5897 2.66489 2.68023 2.63518 2.53129 2.37218 2.16341 1.91231 1.6279 1.32056 1.00159 0.682775 0.375739 0.0916042 -0.159398 -0.368278 -0.527602 -0.63173 -0.676995 
-0.724885 -0.646821 -0.509251 -0.317038 -0.0770054 0.202255 0.51063 0.836851 1.16899 1.49497 1.80295 2.0818 2.32149 2.51343 2.65081 2.72879 2.74459 2.69763 2.58953 2.42407 2.20709 1.94629 1.6511 1.33222 1.00132 0.670553 0.351984 0.057138 -0.203365 -0.420188 -0.585597 -0.693711 -0.740696 
-0.72481 -0.646721 -0.509122 -0.316882 -0.0768497 0.202354 0.510615 0.836707 1.16874 1.49461 1.80251 2.08129 2.32091 2.5128 2.65012 2.72802 2.74372 2.69664 2.58846 2.42295 2.20601 1.94533 1.65031 1.3316 1.00083 0.670186 0.351722 0.0569618 -0.203467 -0.420233 -0.585598 -0.693682 -0.740644 
-0.661663 -0.586484 -0.454007 -0.268908 -0.0377774 0.231088 0.527955 0.842022 1.16183 1.47572 1.77228 2.04077 2.27151 2.45627 2.58845 2.66339 2.67846 2.63313 2.52899 2.36968 2.16085 1.90988 1.6258 1.31885 1.00023 0.681728 0.374975 0.0910748 -0.159725 -0.368447 -0.527656 -0.631705 -0.67691 
-0.53798 -0.468474 -0.345989 -0.174822 0.0389636 0.287712 0.562427 0.853104 1.14912 1.43964 1.71409 1.96252 2.17595 2.34681 2.46901 2.53829 2.55222 2.51032 2.41404 2.26671 2.07358 1.84141 1.57855 1.29449 0.999563 0.704762 0.420853 0.158139 -0.0738802 -0.266918 -0.414127 -0.51031 -0.552085 
-0.358668 -0.297332 -0.189256 -0.0382039 0.150516 0.370179 0.612847 0.869668 1.13123 1.38792 1.63037 1.84976 2.03819 2.18901 2.29683 2.35793 2.37018 2.33313 2.24811 2.11805 1.94756 1.74254 1.51039 1.25944 0.998854 0.738399 0.487592 0.255572 0.0507334 -0.119634 -0.249507 -0.334329 -0.371143 
-0.130663 -0.0796521 0.0101902 0.135759 0.292682 0.475405 0.677338 0.8911 1.10882 1.32248 1.52426 1.70679 1.86352 1.98891 2.07849 2.12924 2.13934 2.10847 2.03774 1.92954 1.7877 1.61713 1.42398 1.21511 0.998214 0.781446 0.572741 0.379732 0.209393 0.0677733 -0.040129 -0.110559 -0.141086 
0.137473 0.176399 0.244891 0.340591 0.460198 0.599515 0.75353 0.916604 1.08272 1.24572 1.39963 1.53883 1.65833 1.75388 1.82212 1.86076 1.8684 1.84483 1.79086 1.70828 1.60004 1.4699 1.32253 1.16316 0.99769 0.832341 0.673169 0.526014 0.39619 0.288316 0.206182 0.152615 0.129451 
0.435974 0.461484 0.506284 0.568825 0.646968 0.738001 0.838656 0.945247 1.05383 1.16038 1.26098 1.35195 1.43002 1.49242 1.53697 1.56216 1.56708 1.55162 1.51627 1.46221 1.3914 1.30622 1.20977 1.10551 0.997316 0.88923 0.78522 0.689104 0.604352 0.533994 0.480476 0.445622 0.430622 
0.754219 0.765453 0.785051 0.812311 0.846307 0.885901 0.929659 0.975985 1.02317 1.06947 1.1132 1.15274 1.18668 1.21377 1.2331 1.24399 1.24603 1.2392 1.22367   1.2 1.16907 1.13184 1.08973 1.04428 0.997161 0.950141 0.904961 0.863245 0.826504 0.796075 0.772999 0.75804 0.751714 
1.08109 1.07767 1.07141 1.06248 1.05117 1.03797 1.0233 1.00771 0.991806 0.976198 0.961491 0.948217 0.936828 0.927703 0.921151 0.917382 0.916508 0.918555 0.923395 0.930936 0.940907 0.95289 0.966604 0.981558 0.99715 1.01287 1.02812 1.04224 1.05476 1.0653 1.07345 1.07889 1.08148 
1.40524 1.38727 1.35537 1.31057 1.25437 1.18883 1.11625 1.03928 0.960819 0.883822 0.811173 0.745521 0.689198 0.644162 0.611955 0.593661 0.589894 0.60077 0.62588 0.664381 0.714908 0.77572 0.844793 0.919588 0.997358 1.0753 1.15042 1.21985 1.2812 1.33234 1.37144 1.3971 1.40852 
1.71528 1.68342 1.62703 1.54791 1.44875 1.33317 1.20522 1.06955 0.931285 0.795591 0.667527 0.551766 0.452445 0.37304 0.31628 0.284088 0.27755 0.296869 0.341352 0.409466 0.498863 0.606469 0.7285 0.86053 0.997792 1.13522 1.26753 1.38985 1.49789 1.58786 1.65655 1.70154 1.72136 
2.00045 1.95585 1.87688 1.76611 1.62742 1.46583 1.287 1.09743 0.90423 0.714628 0.535649 0.373818 0.234936 0.123892 0.0445255 -0.000457299 -0.00954199 0.017553 0.0798742 0.175293 0.300523 0.451155 0.621833 0.806481 0.998417 1.19044 1.37528 1.54622 1.69719 1.82284 1.91874 1.98154 2.0091 
2.25058 2.1947 2.09578 1.95721 1.78391 1.58203 1.35863 1.12186 0.880596 0.643832 0.420287 0.218091 0.0445027 -0.0943314 -0.193572 -0.249805 -0.261123 -0.227164 -0.149113 -0.0296623 0.127003 0.315326 0.528677 0.759497 0.999314 1.23911 1.46996 1.6835 1.87208 2.02901 2.14877 2.22719 2.26152 
2.45625 2.39103 2.27571 2.11434 1.91258 1.67749 1.41741 1.14187 0.861195 0.585769 0.325673 0.0903324 -0.111802 -0.273539 -0.389193 -0.454741 -0.467929 -0.428324 -0.337316 -0.198091 -0.0155596 0.203838 0.452397 0.721202 1.0003 1.27927 1.54788 1.79641 2.01592 2.19858 2.33798 2.42923 2.46912 
2.60994 2.53772 2.41012 2.23162 2.00843 1.74841 1.46095 1.15661 0.846687 0.542572 0.255338 -0.00463472 -0.228012 -0.406825 -0.534745 -0.607274 -0.621881 -0.578066 -0.477373 -0.323345 -0.121418 0.121288 0.396156 0.693208 1.00146 1.30956 1.60627 1.88086 2.12346 2.32538 2.47945 2.58029 2.62429 
2.70504 2.62835 2.49299 2.30369 2.06709 1.79168 1.48743 1.16544 0.837574 0.515849 0.211942 -0.0631754 -0.299621 -0.488946 -0.624418 -0.701238 -0.716694 -0.670235 -0.563492 -0.400226 -0.186211 0.0709547 0.362043 0.67645 1.00263 1.32868 1.64274 1.93343 2.19028 2.40409 2.56721 2.6739 2.72039 
2.73654 2.65824 2.52015 2.32716 2.0861 1.80561 1.49584 1.16802 0.834202 0.506614 0.197143 -0.0830352 -0.32385 -0.51669 -0.654685 -0.732931 -0.748648 -0.701265 -0.592442 -0.426016 -0.207892 0.05414 0.350633 0.670803 1.00296 1.33499 1.65485 1.95092 2.21253 2.43029 2.59643 2.70506 2.75233 
2.70343 2.62655 2.49104 2.30168 2.0652 1.79001 1.48607 1.16437 0.836742 0.515235 0.21151 -0.0634534 -0.299771 -0.488999 -0.624401 -0.701172 -0.716585 -0.670078 -0.563275 -0.399941 -0.185872 0.0712733 0.36222 0.6764 1.00237 1.32823 1.64213 1.9327 2.18944 2.40312 2.56614 2.67268 2.719 
2.60802 2.53548 2.40758 2.22883 2.00557 1.74569 1.45861 1.15469 0.84515 0.541409 0.254489 -0.00521455 -0.228368 -0.407019 -0.534829 -0.607284 -0.621825 -0.577928 -0.477116 -0.322926 -0.120811 0.122015 0.396803 0.693576 1.00152 1.30937 1.6059 1.88038 2.12283 2.32459 2.47847 2.57901 2.62271 
2.45451 2.38889 2.27318 2.1115 1.90951 1.67433 1.4145 1.13935 0.859103 0.584127 0.324412 0.0894023 -0.112467 -0.274027 -0.389575 -0.455056 -0.468178 -0.428476 -0.337323 -0.197892 -0.0150806 0.204622 0.453317 0.721969 1.00077 1.27949 1.54794 1.79637 2.01574 2.19825 2.33742 2.42832 2.46782 
2.24891 2.1925 2.09312 1.95427 1.78077 1.57873 1.35547 1.11897 0.878104 0.64179 0.41864 0.216791 0.043464 -0.0951995 -0.194325 -0.250465 -0.261676 -0.22757 -0.149324 -0.0296437 0.127306 0.315995 0.529664 0.760549 1.00019 1.23977 1.47049 1.68395 1.87239 2.02913 2.14858 2.22657 2.26042 
1.99912 1.95395 1.87439 1.7632 1.62429 1.46255 1.28378 1.09439 0.901522 0.71232 0.533704 0.37219 0.233551 0.1227 0.0435051 -0.00130432 -0.0101926 0.0171375 0.0797432 0.17547 0.301012 0.451989 0.623018 0.807885 0.999793 1.19166 1.37641 1.5473 1.69812 1.82352 1.91903 1.98137 2.00839 
1.7143 1.68196 1.62497 1.54535 1.44588 1.33007 1.20207 1.0665 0.928483 0.793113 0.665354 0.54987 0.450799 0.371646 0.315144 0.283226 0.276977 0.296598 0.341412 0.409881 0.49965 0.607621 0.729967 0.862245 0.999581 1.13689 1.26909 1.39136 1.49925 1.58891 1.65718 1.70172 1.72099 
1.40455 1.38612 1.35367 1.30843 1.2519 1.18606 1.11334 1.03638 0.958072 0.881307 0.808906 0.743497 0.68744 0.642715 0.610844 0.592907 0.589512 0.600754 0.626256 0.665138 0.716053 0.777277 0.846654 0.921662 0.999541 1.0774 1.15237 1.2217 1.28287 1.33369 1.37237 1.39758 1.40842 
1.08079 1.07689 1.0701 1.06077 1.04912 1.03557 1.02072 1.00508 0.989224 0.973782 0.959277 0.946202 0.935077 0.926305 0.920143 0.916796 0.916389 0.918889 0.924222 0.932213 0.942544 0.954918 0.968915 0.984006 0.999654 1.01529 1.03035 1.04431 1.05662 1.06684 1.0746 1.07962 1.0817 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 32, ux');
U = [1.24422 1.56272 1.86162 2.13052 2.35948 2.54001 2.6652 2.7289 2.72797 2.66329 2.5382 2.35777 2.12899 1.86048 1.56187 1.24372 0.917172 0.593516 0.284 -0.000485642 -0.249764 -0.454681 -0.607227 -0.701153 -0.732793 -0.701021 -0.607134 -0.454887 -0.25025 -0.00102453 0.283576 0.593316 0.917281 
1.23349 1.53769 1.82323 2.08007 2.29866 2.47099 2.59041 2.65103  2.65 2.58823 2.46881 2.29648 2.07797 1.82156 1.53638 1.2325 0.920633 0.611588 0.316042 0.0444164 -0.193516 -0.389088 -0.534654 -0.624213 -0.654344 -0.624028 -0.534461 -0.389174 -0.193831 0.0441379 0.315932 0.611765 0.921207 
1.21432 1.49334 1.75526 1.99074 2.19104 2.34899 2.45833 2.51365 2.51255 2.45592 2.34647 2.18846 1.98811 1.75298 1.49147 1.2128 0.926836 0.643529 0.372583 0.123624 -0.0943356 -0.273463 -0.406729 -0.488609 -0.516106 -0.488358 -0.406395 -0.273375 -0.094436 0.123647 0.372819 0.6441 0.927905 
1.18733 1.43112 1.65992 1.86551 2.0404 2.17832 2.27359 2.32158 2.32047 2.27103 2.17548 2.03752 1.86254 1.65716 1.42876 1.1854 0.935647 0.688246 0.451681 0.234432 0.044337 -0.111868 -0.22796 -0.299128 -0.322971 -0.298811 -0.227447 -0.111539 0.0444875 0.234764 0.45228 0.68919 0.937104 
1.15343 1.3531 1.54047 1.70881 1.85204 1.96491 2.04262 2.08161 2.08058 2.04011 1.96189 1.84894 1.70565 1.53743 1.35043 1.15117 0.946664 0.744144 0.550609 0.372979 0.2176 0.0899844 -0.00465713 -0.062481 -0.0818096 -0.0621389 -0.00397242 0.0906229 0.218079 0.373636 0.551584 0.745501 0.948497 
1.11389 1.26215 1.40127 1.52627 1.6326 1.71624 1.77365 1.80235 1.80147 1.77136 1.71324 1.62935 1.52296 1.39805 1.2592 1.1113 0.959553 0.809371 0.665947 0.534353 0.419323 0.325001 0.255296 0.212893 0.198726 0.213156 0.256013 0.325887 0.420172 0.535368 0.667263 0.811098 0.961747 
1.07007 1.16144 1.2472 1.32426 1.38978 1.44122 1.47641 1.49391 1.49321 1.4745 1.43855 1.38672 1.32105 1.244 1.15839 1.06732 0.973967 0.881648 0.793558 0.712815 0.642414 0.584872 0.542579 0.517037 0.508474 0.517106 0.543103 0.585748 0.643471 0.714136 0.795161 0.883622 0.976357 
1.02359 1.05465 1.08386 1.11013 1.13247 1.14995 1.16179 1.16752 1.16697 1.16027 1.1477 1.12974 1.10716 1.0808 1.05165 1.02082 0.989306 0.958272 0.928815 0.901979 0.878839 0.860112 0.846643 0.838812 0.836134 0.838648 0.846848 0.860734 0.879821 0.903398 0.930596 0.960422 0.991795 
0.976197 0.945805 0.917386 0.891931 0.870321 0.853294 0.84143 0.835155 0.83473 0.840226 0.851463 0.868007 0.889311 0.914617 0.943009 0.973528 1.00503 1.03649 1.06681 1.09488 1.11978 1.14045 1.15624 1.16642 1.16975 1.16606 1.15616 1.14078 1.12054 1.09618 1.06856 1.03865 1.00751 
0.929693 0.838989 0.754013 0.67779 0.613064 0.562199 0.527073 0.509008 0.508695 0.526174 0.560789 0.611208 0.675599 0.75161 0.83647 0.927216 1.0206 1.1134 1.20233 1.28419 1.35619 1.4155 1.46003 1.48793 1.49718 1.4874 1.45974 1.41562 1.35677 1.28535 1.20394 1.11542 1.02293 
0.885826 0.738191 0.59981 0.475625 0.370148 0.287283 0.230144 0.200906 0.200688 0.229502 0.286228 0.368685 0.473818 0.597742 0.735948 0.883574 1.03535 1.186 1.33022 1.46288 1.57939 1.67524 1.74698 1.79168 1.80655 1.79101 1.74655 1.67524 1.57988 1.46399 1.33176 1.18791 1.0375 
0.846193 0.647089 0.460402 0.292799 0.150389 0.0384922 -0.0386331 -0.0780238 -0.0781616 -0.0390572 0.0377434 0.149272 0.291328 0.45863 0.645106 0.844163 1.04872 1.25167 1.4459 1.62455 1.78136 1.91031 2.00673 2.06669 2.08665 2.06591 2.00619 1.91021 1.78174 1.62557 1.44736 1.25345 1.0507 
0.81219 0.568929 0.34078 0.135873 -0.0383182 -0.175238 -0.269607 -0.31776 -0.317832 -0.26985 -0.175736 -0.0391681 0.134653 0.33925 0.567206 0.810428 1.0603 1.30817 1.54535 1.76348 1.95488 2.11229 2.22999 2.30309 2.32742 2.30218 2.22928 2.11204 1.9551 1.7643 1.54657 1.3097 1.06202 
0.784993 0.50644 0.245142 0.0103857 -0.189277 -0.346295 -0.454532 -0.509733 -0.509754 -0.454638 -0.346617 -0.189954 0.0093424 0.243832 0.505001 0.783564 1.0697 1.3535 1.62504 1.87475 2.09383 2.27403 2.40877 2.49239 2.52023 2.49137 2.4079 2.2736 2.09382 1.87525 1.62589 1.35464 1.07105 
0.765531 0.461765 0.176786 -0.0793057 -0.2972 -0.468641 -0.586842 -0.647105 -0.64709 -0.586853 -0.468852 -0.297773 -0.0802118 0.175689 0.460626 0.764466 1.07652 1.38602 1.68212 1.95444 2.19336 2.38987 2.53679 2.62789 2.65822 2.62675 2.53568 2.38914 2.19296 1.9545 1.68253 1.38672 1.07746 
0.754452 0.436412 0.138032 -0.130132 -0.358357 -0.537996 -0.661869 -0.725001 -0.72496 -0.661813 -0.538136 -0.358857 -0.130909 0.137158 0.435593 0.753778 1.08055 1.40463 1.71466 1.99981 2.24997 2.45573 2.60954 2.70483 2.73652 2.70353 2.60811 2.45463 2.24913 1.99939 1.71459 1.40483 1.08103 
0.752123 0.431238 0.130186 -0.140376 -0.370659 -0.551959 -0.676975 -0.740658 -0.740595 -0.67686 -0.552033 -0.37108 -0.141004 0.129556 0.43075 0.751863 1.08167 1.40873 1.72158 2.00932 2.26172 2.46929 2.62443 2.72046 2.75233 2.71897 2.62268 2.46778 2.26035 2.0083 1.72089 1.40832 1.08162 
0.758611 0.446404 0.15349 -0.109716 -0.333707 -0.510061 -0.631634 -0.693514 -0.693427 -0.63145 -0.510046 -0.334014 -0.110154 0.153132 0.446247 0.75876 1.07975 1.39806 1.70252 1.98258 2.22817 2.43009 2.58096 2.67425 2.70508 2.67254 2.57887 2.42814 2.22623 1.98095 1.70129 1.39713 1.07921 
0.773649 0.481358 0.207117 -0.0392245 -0.248794 -0.413779 -0.527438 -0.585219 -0.585104 -0.527162 -0.413628 -0.248939 -0.0394217 0.207073 0.481555 0.774243 1.07489 1.373 1.65819 1.92053 2.15044 2.33942 2.4806 2.56775 2.59641 2.56588 2.47822 2.33708 2.14801 1.91833 1.65644 1.37158 1.07384 
0.796771 0.534898 0.289228 0.0686846 -0.118872 -0.266494 -0.368059 -0.419592 -0.419448 -0.367666 -0.266151 -0.118805 0.0687534 0.289524 0.535458 0.797778 1.06727 1.33451 1.59017 1.82526 2.03118 2.20046 2.32688 2.40471 2.43013 2.40271 2.3242 2.19777 2.02836 1.82253 1.58782 1.33256 1.06574 
0.827146 0.605155 0.397008 0.210263 0.0514827 -0.0734037 -0.159123 -0.202501 -0.20234 -0.158616 -0.0728128 0.0518364 0.210622 0.397648 0.606102 0.828531 1.05709 1.28377 1.50063 1.69996 1.87454 2.0181 2.12516 2.19081 2.21213 2.18884 2.12231 2.01514 1.8715 1.69693 1.4979 1.28147 1.05522 
0.863692 0.689727 0.526702 0.380493 0.256243 0.158689 0.0919778 0.058321 0.0584566 0.0925167 0.159502 0.25695 0.381208 0.527689 0.691066 0.865488 1.04478 1.22263 1.39277 1.54915 1.68612 1.79871 1.88247 1.93365 1.95018 1.93185 1.87964 1.79556 1.68288 1.54592 1.38977  1.22 1.04254 
0.905265 0.785702 0.673707 0.573348 0.488223 0.421598 0.376276 0.353486 0.353533 0.376676 0.42243 0.489173 0.574417 0.675025 0.787348 0.907356 1.03079 1.15327 1.27047 1.37819 1.47253  1.55 1.60748 1.64249 1.6537 1.64097 1.60492 1.54694 1.46927 1.37491 1.26732 1.1504 1.02828 
0.950337 0.889568 0.832742 0.781998 0.739164 0.705827 0.683422 0.672246 0.672166 0.683544 0.706424 0.740068 0.783224 0.834305 0.891451 0.952606 1.01558 1.07814 1.13804 1.19312 1.24137 1.28093 1.3102 1.32792 1.33345 1.32672 1.30808 1.27822 1.23834 1.18998 1.13492 1.07522 1.01297 
0.997218 0.997556 0.998071 0.99884 0.9998 1.00084 1.0021 1.00294 1.00274 1.00194 1.00112 1.00046 0.999968 0.999665 0.99954 0.99958 0.999759 1.00005 1.00042 1.00083 1.00122 1.00152 1.00163 1.00149 1.00109 1.00054 0.999905 0.999209 0.998519 0.997938 0.997476 0.997215 0.997139 
1.04425 1.10572 1.16353 1.21571 1.26036 1.29571 1.32063 1.3335 1.3332 1.32024 1.29574 1.26078 1.21666 1.16499 1.10761 1.04654 0.983926 0.921954 0.862794 0.808532 0.761096 0.722184 0.693199 0.675202 0.668874 0.674482 0.691855 0.720324 0.758834 0.806026 0.860154 0.919317 0.981416 
1.08964 1.2099 1.32281 1.42449 1.51122 1.57966 1.62742 1.65193 1.65153 1.62685 1.57951 1.51149 1.42533 1.32418 1.21166 1.09176 0.968696 0.846781 0.730302 0.623388 0.529882 0.453197 0.396176 0.360962 0.348894 0.360443 0.395178 0.451753 0.528044 0.621267 0.727979 0.844391 0.966383 
1.1316 1.30619 1.47008 1.61759 1.74329 1.8424 1.91136 1.94667 1.9462 1.91067 1.84215 1.74347 1.61836 1.4714 1.30788 1.13359 0.954645 0.777319 0.607836 0.452208 0.316044 0.204354 0.121332 0.0701371 0.0527322 0.0697849 0.120622 0.203264 0.314578 0.450429 0.605807 0.775173 0.952528 
1.16869 1.39126 1.60016 1.78812 1.94825 2.0745 2.16225 2.20712 2.20657 2.16141 2.07411 1.94829 1.78875 1.60133 1.39278 1.17049 0.942262 0.716062 0.499817 0.301179 0.127308 -0.0153675 -0.121431 -0.186797 -0.208939 -0.187008 -0.121892 -0.0161543 0.126151 0.299682 0.498047 0.714165 0.940366 
1.19967 1.46213 1.70845 1.93003 2.1188 2.26765 2.37108 2.4239 2.42329 2.37009 2.26712 2.11867 1.93044 1.70933 1.46333 1.20114 0.931961 0.665162 0.410064 0.175668 -0.0295933 -0.198113 -0.323426 -0.400638 -0.42674 -0.400735 -0.323693 -0.198679 -0.0305373 0.174384 0.408543 0.663556 0.930379 
1.2234 1.51626 1.7911 2.03835 2.24895 2.41505 2.53041 2.58929 2.58864 2.52927 2.4143 2.24857 2.0384 1.79158 1.51703 1.22446 0.924089 0.626376 0.34169 0.0800525 -0.149148 -0.337418 -0.477473 -0.563761 -0.592898 -0.563776 -0.477605 -0.337846 -0.149954 0.0789478 0.340424 0.625095 0.922884 
1.23902 1.55173 1.84522 2.10927 2.33417 2.51154 2.63466 2.69745 2.69673 2.63329 2.51046 2.33339 2.10886 1.84525 1.55206 1.23963 0.918911 0.60102 0.297026 0.0176132 -0.227219 -0.428413 -0.578138 -0.670379 -0.701502 -0.670336 -0.578183 -0.428759 -0.227926 0.0166778 0.296024 0.600084 0.918106 
1.24606 1.56742 1.86902 2.14035 2.37144 2.55368 2.68012 2.74455 2.74374 2.6785 2.55226 2.37023 2.13943 1.8685 1.56718 1.24612 0.916577 0.589941 0.277578 -0.00953376 -0.261137 -0.46795 -0.621897 -0.716722 -0.748694 -0.716634 -0.621875 -0.468234 -0.261747 -0.0102862 0.27686 0.589374 0.916224 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 32, uy');
P = [-1.47078 -1.34048 -1.12472 -0.854216 -0.567316 -0.305223 -0.105925 0.00174212 0.00197144 -0.105478 -0.304776 -0.566692 -0.853511 -1.12429 -1.34038 -1.47112 -1.49807 -1.41729 -1.24017 -0.991722 -0.707095 -0.426909 -0.191377 -0.0345417 0.0207167 -0.0336452 -0.189657 -0.424646 -0.704626 -0.989353 -1.23818 -1.4158 -1.49713 
-1.3395 -1.20899 -0.992994 -0.722144 -0.434919 -0.172669 0.0267284 0.134456 0.134528 0.026754 -0.172818 -0.435029 -0.722296 -0.993519 -1.20991 -1.34084 -1.36781 -1.2869 -1.10953 -0.860726 -0.575647 -0.295016 -0.0590963 0.0980462 0.153482 0.0991447 -0.0569827 -0.292203 -0.572493 -0.857557 -1.10668 -1.28451 -1.36592 
-1.12286 -0.992054 -0.775585 -0.504129 -0.216396 0.0461936 0.245864 0.353673 0.353548 0.245481 0.0455653 -0.217207 -0.505159 -0.776949 -0.993773 -1.12501 -1.15209 -1.07105 -0.893327 -0.643954 -0.358229 -0.0769991 0.159421 0.316919 0.372521 0.318151 0.16181 -0.0737747 -0.354539 -0.640117 -0.889708 -1.06786 -1.1494 
-0.851454 -0.720238 -0.503143 -0.231002 0.0572882 0.32034 0.520366 0.628236 0.627924 0.519577 0.319209 0.0557658 -0.232876 -0.505284 -0.722704 -0.854398 -0.881633 -0.800414 -0.622198 -0.372154 -0.0857578 0.196093 0.433036 0.590874 0.646597 0.592147 0.435549 0.199557 -0.0817279 -0.367876 -0.617988 -0.796502 -0.878156 
-0.563852 -0.432175 -0.214448 0.0583414 0.347209 0.610773 0.811099 0.918946 0.918452 0.809852 0.60907 0.345074 0.0558182 -0.217286 -0.435375 -0.56748 -0.594798 -0.513382 -0.334731 -0.0841439 0.202819 0.485245 0.722658 0.880746 0.936515 0.88195 0.725105 0.488753 0.207016 -0.079631 -0.330203 -0.509031 -0.590759 
-0.301227 -0.169132 0.0491498 0.322522 0.611932 0.875908 1.07637 1.18413 1.18352 1.07478 0.873723 0.609316 0.3195 0.0457534 -0.172861 -0.305267 -0.332707 -0.251236 -0.0723306 0.178665 0.466128 0.749039 0.986759 1.14494 1.20067 1.14598 0.988939 0.752337 0.470295 0.183312 -0.06757 -0.2466 -0.328344 
-0.101377 0.03107 0.249786 0.523598 0.813374 1.07754 1.278 1.38568 1.38502 1.2762 1.07498 0.810291 0.520092 0.245953 0.0269908 -0.105726 -0.133377 -0.0519143 0.127186 0.37851 0.66632 0.949456 1.18723 1.34536 1.40101 1.34622 1.18908 0.952361 0.670182 0.383053 0.132047 -0.0470348 -0.12871 
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];
figure;
plot3(X,Y,P,'.b','MarkerSize',5);
title('N = 32, p');
XY = [
0 0
0.0153846 0.0153846
0.0307692 0.0307692
0.0461538 0.0461538
0.0615385 0.0615385
0.0769231 0.0769231
0.0923077 0.0923077
0.107692 0.107692
0.123077 0.123077
0.138462 0.138462
0.153846 0.153846
0.169231 0.169231
0.184615 0.184615
0.2 0.2
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0.230769 0.230769
0.246154 0.246154
0.261538 0.261538
0.276923 0.276923
0.292308 0.292308
0.307692 0.307692
0.323077 0.323077
0.338462 0.338462
0.353846 0.353846
0.369231 0.369231
0.384615 0.384615
0.4 0.4
0.415385 0.415385
0.430769 0.430769
0.446154 0.446154
0.461538 0.461538
0.476923 0.476923
0.492308 0.492308
0.507692 0.507692
0.523077 0.523077
0.538462 0.538462
0.553846 0.553846
0.569231 0.569231
0.584615 0.584615
0.6 0.6
0.615385 0.615385
0.630769 0.630769
0.646154 0.646154
0.661538 0.661538
0.676923 0.676923
0.692308 0.692308
0.707692 0.707692
0.723077 0.723077
0.738462 0.738462
0.753846 0.753846
0.769231 0.769231
0.784615 0.784615
0.8 0.8
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0.830769 0.830769
0.846154 0.846154
0.861538 0.861538
0.876923 0.876923
0.892308 0.892308
0.907692 0.907692
0.923077 0.923077
0.938462 0.938462
0.953846 0.953846
0.969231 0.969231
0.984615 0.984615
];
[X, Y] = meshgrid(XY(:,1), XY(:,2));
U = [0.830137 0.832529 0.836483 0.841963 0.848917 0.857281 0.866977 0.877914 0.889991 0.903095 0.917104 0.931887 0.947306 0.963219 0.979475 0.995923 1.01241 1.02878 1.04488 1.06055 1.07567 1.09007 1.10363 1.11623 1.12774 1.13805 1.14708 1.15473 1.16094 1.16564 1.1688 1.17039 1.17038 1.16878 1.16561 1.16088 1.15466 1.14699 1.13795 1.12762 1.1161 1.10349 1.08992 1.0755 1.06038 1.04469 1.02859 1.01221 0.995726 0.979277 0.963023 0.947113 0.931698 0.916921 0.90292 0.889827 0.877762 0.866838 0.857158 0.848812 0.841877 0.836417 0.832484 0.830114 0.829329 
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2.09296 2.07755 2.05209 2.01681 1.97203 1.91818 1.85576 1.78534 1.70759 1.62323 1.53305 1.43788 1.33863 1.23621 1.13158 1.02573 0.91963 0.814284 0.710674 0.609767 0.512506 0.419799 0.332513 0.25146 0.177399 0.11102 0.0529409 0.00370439 -0.0362309 -0.0664928 -0.0867992 -0.0969611 -0.0968837 -0.0865679 -0.0661098 -0.0356999 0.00437816 0.053751 0.111958 0.178458 0.252628 0.333779 0.421152 0.513932 0.611253 0.712206 0.815847 0.921208 1.02731 1.13315 1.23774 1.34012 1.43932 1.53441 1.62451 1.70878 1.78642 1.85673 1.91903 1.97275 2.01739 2.05253 2.07785 2.0931 2.09816 
1.95629 1.94281 1.92053 1.88966 1.85048 1.80337 1.74875 1.68714 1.61911 1.54529 1.46639 1.38312 1.29628 1.20666 1.11512 1.0225 0.929665 0.83749 0.746834 0.658543 0.573442 0.492327 0.415955 0.345037 0.280237 0.222158 0.171342 0.128263 0.093322 0.0668449 0.0490783 0.0401877 0.0402559 0.0492821 0.0671822 0.0937895 0.128856 0.172055 0.222984 0.281168 0.346064 0.417068 0.493516 0.574695 0.659848 0.748179 0.838862 0.93105 1.02388 1.11649 1.20801 1.29759 1.38438 1.46758 1.54642 1.62015 1.68809 1.7496 1.80411 1.85112 1.89017 1.92092 1.94307 1.95642 1.96084 
1.8107 1.79928 1.78039 1.75422 1.721 1.68106 1.63475 1.58252 1.52485 1.46227 1.39538 1.32479 1.25116 1.17519 1.09758 1.01906 0.940356 0.862213 0.785356 0.710506 0.63836 0.569593 0.504847 0.444725 0.38979 0.340553 0.297474 0.260954 0.231333 0.208887 0.193826 0.18629 0.186348 0.194001 0.209176 0.231733 0.261461 0.298083 0.341259 0.390585 0.445602 0.505796 0.570607 0.639428 0.711618 0.786503 0.863382 0.941537 1.02024 1.09875 1.17634 1.25228 1.32586 1.3964 1.46323 1.52574 1.58333 1.63548 1.68169 1.72154 1.75465 1.78072 1.7995 1.81081 1.81456 
1.65755 1.64829 1.63297 1.61174 1.5848 1.5524 1.51484 1.47248 1.4257 1.37494 1.32068 1.26342 1.2037 1.14208 1.07913 1.01544 0.951605 0.888221 0.825882 0.76517 0.706652 0.650874 0.598358 0.549594 0.505036 0.4651 0.430159 0.400538 0.376513 0.358308 0.346093 0.339981 0.340029 0.346237 0.358546 0.376842 0.400955 0.43066 0.46568 0.505688 0.550313 0.599137 0.651705 0.707527 0.766081 0.826821 0.889178 0.952571 1.01641 1.08009 1.14302 1.20462 1.2643 1.32151 1.37572 1.42642 1.47314 1.51543 1.55292 1.58524 1.6121 1.63324 1.64847 1.65765 1.66068 
1.49828 1.49126 1.47965 1.46356 1.44314 1.41859 1.39013 1.35802 1.32257 1.28411 1.24299 1.1996 1.15435 1.10765 1.05994 1.01168 0.963306 0.915274 0.868033 0.822026 0.777681 0.735413 0.695617 0.658664 0.624899 0.594636 0.568159 0.545713 0.527508 0.513714 0.504458 0.499828 0.499865 0.50457 0.513898 0.527764 0.546037 0.568547 0.595085 0.625403 0.659219 0.696218 0.736054 0.778355 0.822727 0.868755 0.91601 0.964048 1.01242 1.06068 1.10837 1.15505 1.20027 1.24363 1.28471 1.32313 1.35853 1.39058 1.41899 1.44348 1.46383 1.47985 1.49139 1.49835 1.50065 
1.33436 1.32964 1.32185 1.31106 1.29736 1.28088 1.26178 1.24023 1.21644 1.19063 1.16304 1.13392 1.10355 1.07221 1.0402 1.00781 0.97535 0.943118 0.911416 0.880543 0.850785 0.82242 0.795715 0.770918 0.74826 0.727953 0.710186 0.695125 0.68291 0.673654 0.667445 0.664338 0.664365 0.667523 0.673784 0.683089 0.695352 0.710459 0.728268 0.748613 0.771306 0.796134 0.822866 0.851253 0.881029 0.911916 0.943626 0.975863 1.00832 1.04071 1.07271 1.10403 1.13438 1.16348 1.19104 1.21682 1.24058 1.26209 1.28115 1.29758 1.31124 1.32199 1.32974 1.3344 1.33595 
1.16732 1.16496 1.16106 1.15566 1.1488 1.14055 1.13099 1.1202 1.1083 1.09537 1.08156 1.06699 1.05179 1.0361 1.02008 1.00387 0.987625 0.971493 0.955627 0.940175 0.925281 0.911085 0.89772 0.88531 0.87397 0.863808 0.854917 0.847381 0.841269 0.836638 0.833532 0.831979 0.831995 0.833577 0.836712 0.841371 0.84751 0.855071 0.863985 0.874169 0.885527 0.897953 0.911332 0.925539 0.940442 0.9559 0.97177 0.987903 1.00415 1.02036 1.03637 1.05205 1.06724 1.0818 1.09559 1.1085 1.12039 1.13115 1.14069 1.14892 1.15575 1.16113 1.16501 1.16734 1.16812 
0.998721 0.998738 0.998765 0.998803 0.998852 0.99891 0.998978 0.999054 0.999139 0.999231 0.99933 0.999435 0.999545 0.999659 0.999776 0.999896 1.00002 1.00014 1.00025 1.00037 1.00048 1.00058 1.00068 1.00077 1.00086 1.00093 1.001 1.00106 1.00111 1.00115 1.00117 1.00119 1.00119 1.00118 1.00116 1.00113 1.00109 1.00104 1.00097 1.0009 1.00082 1.00073 1.00063 1.00052 1.00041 1.0003 1.00018 1.00006 0.999937 0.999815 0.999695 0.999578 0.999464 0.999356 0.999253 0.999157 0.999069 0.998989 0.998919 0.998858 0.998808 0.998768 0.99874 0.998722 0.998716 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 64, ux');
U = [1.16978 1.33678 1.50065 1.65985 1.8129 1.95837 2.09491 2.22123 2.33615 2.43861 2.52764 2.60241 2.66221 2.70649 2.73482 2.74694 2.74273 2.72223 2.68564 2.6333 2.56572 2.48352 2.38747 2.27847 2.15754 2.02582 1.88453 1.73499 1.57859 1.4168 1.25113 1.08312 0.914329 0.74634 0.580717 0.419002 0.262706 0.113284 -0.0278669 -0.15943 -0.280176 -0.388975 -0.48481 -0.566783 -0.634125 -0.686205 -0.722534 -0.742772 -0.746731 -0.734374 -0.705817 -0.661328 -0.601324 -0.526367 -0.43716 -0.334537 -0.219459 -0.0930019 0.0436525 0.189228 0.342365 0.501636 0.665554 0.83259 1.00119 
1.16739 1.33204 1.4936 1.65056 1.80145 1.94487 2.07948 2.20402 2.31733 2.41834 2.50612 2.57983 2.63879 2.68244 2.71037 2.72232 2.71816 2.69795 2.66188 2.61029 2.54365 2.46261 2.36791 2.26045 2.14123 2.01136 1.87206 1.72463 1.57044 1.41093 1.24759 1.08194 0.915535 0.749913 0.586624 0.427188 0.273094 0.125779 -0.0133823 -0.143091 -0.262134 -0.3694 -0.463883 -0.5447 -0.611093 -0.662438 -0.698254 -0.718206 -0.722108 -0.709926 -0.681772 -0.63791 -0.578752 -0.504853 -0.416903 -0.315727 -0.202271 -0.0775969 0.0571314 0.200655 0.351634 0.508661 0.670269 0.834952 1.00118 
1.16344 1.3242 1.48194 1.63519 1.78252 1.92255 2.05398 2.17558 2.28621 2.38483 2.47053 2.5425 2.60006 2.64268 2.66995 2.68162 2.67756 2.65783 2.62261 2.57224 2.50718 2.42805 2.33559 2.23067 2.11426 1.98746 1.85145 1.7075 1.55696 1.40122 1.24174 1.08001 0.917528 0.75582 0.596388 0.44072 0.290268 0.146434 0.0105612 -0.116082 -0.232311 -0.337041 -0.429291 -0.508197 -0.573019 -0.62315 -0.658118 -0.677598 -0.681408 -0.669513 -0.642025 -0.599201 -0.541442 -0.46929 -0.383419 -0.284635 -0.173861 -0.0521333 0.0794111 0.219543 0.366955 0.520271 0.678061 0.838854 1.00115 
1.15796 1.31333 1.46578 1.6139 1.75628 1.89162 2.01864 2.13616 2.24308 2.33839 2.42122 2.49077 2.5464 2.58759 2.61395 2.62522 2.6213 2.60223 2.56819 2.51951 2.45663 2.38016 2.2908 2.1894 2.0769 1.95435 1.8229 1.68378 1.53828 1.38776 1.23363 1.07732 0.92029 0.764005 0.60992 0.459472 0.314065 0.175056 0.0437405 -0.0786541 -0.190985 -0.292201 -0.381355 -0.457613 -0.52026 -0.568708 -0.602502 -0.621328 -0.625009 -0.613514 -0.586948 -0.545561 -0.489741 -0.420009 -0.33702 -0.241551 -0.134493 -0.0168481 0.110284 0.245716 0.388184 0.536359 0.688858 0.844259 1.00111 
1.151 1.29954 1.44528 1.58687 1.72299 1.85236 1.97379 2.08613 2.18834 2.27946 2.35863 2.42513 2.47831 2.51768 2.54287 2.55364 2.5499 2.53167 2.49913 2.45259 2.39249 2.31938 2.23396 2.13702 2.02947 1.91232 1.78666 1.65367 1.51457 1.37068 1.22334 1.07391 0.923796 0.774392 0.627092 0.483269 0.344266 0.211378 0.0858463 -0.0311573 -0.13854 -0.235297 -0.320523 -0.393421 -0.453307 -0.499619 -0.531924 -0.549919 -0.553438 -0.542449 -0.517054 -0.477491 -0.424131 -0.357472 -0.278139 -0.186875 -0.0845333 0.0279295 0.149462 0.27893 0.415125 0.556774 0.702558 0.851117 1.00106 
1.14264 1.28294 1.42061 1.55436 1.68294 1.80515 1.91985 2.02597 2.12251 2.20858 2.28337 2.34617 2.39641 2.4336 2.45739 2.46757 2.46403 2.44681 2.41608 2.37211 2.31534 2.24628 2.1656 2.07403 1.97244 1.86178 1.74308 1.61745 1.48606 1.35014 1.21096 1.06981 0.928012 0.786884 0.647744 0.51189 0.380587 0.255062 0.136486 0.0259662 -0.0754652 -0.16686 -0.247362 -0.316219 -0.372785 -0.416529 -0.447042 -0.464039 -0.467362 -0.456983 -0.432996 -0.395626 -0.345224 -0.28226 -0.207325 -0.121119 -0.0244484 0.0817825 0.196581 0.318876 0.447525 0.581327 0.719035 0.859364 1.00101 
1.13294 1.26371 1.39202 1.51667 1.63651 1.75041 1.85732 1.95622 2.0462 2.12642 2.19612 2.25465 2.30147 2.33613 2.3583 2.36779 2.36449 2.34844 2.3198 2.27883 2.22591 2.16155 2.08635 2.00101 1.90633 1.80319 1.69256 1.57547 1.45301 1.32633 1.19661 1.06506 0.932899 0.801366 0.671685 0.545067 0.422692 0.305702 0.195188 0.0921839 -0.00234943 -0.0875279 -0.162555 -0.226727 -0.279445 -0.320212 -0.348648 -0.364488 -0.367585 -0.357912 -0.335557 -0.30073 -0.253756 -0.195076 -0.125237 -0.0448942 0.0452017 0.144209 0.251201 0.365181 0.485083 0.609788 0.738135 0.868924 1.00094 
1.122 1.24201 1.35977 1.47416 1.58414 1.68867 1.78678 1.87754 1.96012 2.03373 2.0977 2.15142 2.19438 2.22618 2.24653 2.25524 2.25221 2.23748 2.2112 2.1736 2.12504 2.06597 1.99696 1.91864 1.83175 1.7371 1.63557 1.52811 1.41573 1.29948 1.18043 1.0597 0.938412 0.817701 0.698691 0.582491 0.470186 0.362824 0.261405 0.166878 0.0801258 0.0019588 -0.0668916 -0.125781 -0.174157 -0.211568 -0.237661 -0.252196 -0.255038 -0.246161 -0.225647 -0.193688 -0.150581 -0.0967317 -0.0326424 0.0410871 0.123767 0.214626 0.312813 0.417413 0.527449 0.641893 0.759679 0.879707 1.00086 
1.10992 1.21805 1.32415 1.42722 1.52632 1.6205 1.70889 1.79067 1.86507 1.9314 1.98903 2.03743 2.07613 2.10479 2.12312 2.13096 2.12824 2.11497 2.09129 2.05741 2.01366 1.96044 1.89826 1.82769 1.7494 1.66412 1.57265 1.47583 1.37457 1.26982 1.16256 1.05378 0.9445 0.835739 0.72851 0.623815 0.522629 0.425896 0.33452 0.249353 0.171191 0.100766 0.0387347 -0.0143213 -0.0579053 -0.091609 -0.115117 -0.128211 -0.130771 -0.122773 -0.104292 -0.0754987 -0.0366624 0.0118536 0.0695955 0.136023 0.210516 0.292377 0.380843 0.475086 0.574227 0.677342 0.783467 0.891613 1.00077 
1.09682 1.19206 1.28551 1.37629 1.46357 1.54653 1.62438 1.69641 1.76194 1.82036 1.87112 1.91375 1.94784 1.97308 1.98923 1.99613 1.99373 1.98204 1.96118 1.93135 1.89281 1.84594 1.79117 1.72902 1.66006 1.58494 1.50437 1.41909 1.32991 1.23765 1.14317 1.04736 0.951106 0.85531 0.760865 0.668652 0.579529 0.49433 0.413849 0.338838 0.269998 0.207971 0.153338 0.106611 0.0682265 0.038544 0.0178415 0.00631045 0.00405625 0.0110995 0.0273756 0.052734 0.0869378 0.129667 0.180522 0.239028 0.304638 0.376738 0.454655 0.537661 0.624983 0.715804 0.809277 0.904531 1.00068 
1.08281 1.16427 1.24419 1.32185 1.3965 1.46745 1.53404 1.59565 1.6517 1.70167 1.74508 1.78154 1.8107 1.83228 1.84609 1.852 1.84994 1.83995 1.8221 1.79658 1.76362 1.72353 1.67669 1.62353 1.56455 1.5003 1.43138 1.35845 1.28216 1.20325 1.12244 1.04049 0.958168 0.876233 0.795454 0.716584 0.640358 0.567488 0.498655 0.4345 0.375623 0.322574 0.27585 0.235888 0.203061 0.177677 0.159972 0.150112 0.148184 0.154207 0.168126 0.189813 0.219065 0.255609 0.299103 0.349141 0.405254 0.46692 0.533561 0.604555 0.679241 0.75692 0.836869 0.91834 1.00057 
1.06802 1.13494 1.2006 1.26439 1.32572 1.38401 1.43871 1.48932 1.53537 1.57641 1.61208 1.64203 1.66598 1.68371 1.69506 1.69991 1.69822 1.69001 1.67535 1.65438 1.62731 1.59437 1.55589 1.51222 1.46376 1.41098 1.35437 1.29445 1.23178 1.16695 1.10057 1.03325 0.96562 0.898312 0.831954 0.767164 0.704547 0.644687 0.588144 0.535444 0.487081 0.443506 0.405127 0.372302 0.345339 0.32449 0.309949 0.301851 0.300268 0.305214 0.316646 0.334459 0.358486 0.388503 0.42423 0.465332 0.511426 0.562081 0.616824 0.675144 0.736496 0.800308 0.865984 0.932912 1.00047 
1.0526 1.10435 1.15513 1.20447 1.25189 1.29697 1.33928 1.37842 1.41403 1.44577 1.47336 1.49652 1.51504 1.52876 1.53753 1.54128 1.53997 1.53362 1.52228 1.50607 1.48513 1.45966 1.42989 1.39612 1.35864 1.31782 1.27404 1.2277 1.17923 1.1291 1.07776 1.0257 0.973394 0.921342 0.870024 0.81992 0.771497 0.725207 0.681481 0.640729 0.603331 0.569637 0.53996 0.514579 0.493732 0.477612 0.466371 0.460111 0.458887 0.462711 0.471549 0.485321 0.503899 0.527109 0.554735 0.586518 0.622162 0.661334 0.703667 0.748767 0.796213 0.845561 0.896351 0.94811 1.00035 
1.03668 1.07279 1.10821 1.14263 1.17571 1.20716 1.23668 1.26398 1.28883 1.31097 1.33021 1.34637 1.3593 1.36886 1.37498 1.3776 1.37668 1.37225 1.36434 1.35303 1.33842 1.32065 1.29988 1.27632 1.25017 1.2217 1.19115 1.15882 1.12501 1.09004 1.05422 1.0179 0.981417 0.945106 0.909309 0.874359 0.840582 0.808294 0.777796 0.749372 0.723288 0.699788 0.679092 0.661392 0.646854 0.635614 0.627777 0.623413 0.62256 0.625225 0.631387 0.640989 0.653945 0.670132 0.689399 0.711567 0.736428 0.76375 0.793279 0.824738 0.857833 0.892257 0.927687 0.963793 1.00024 
1.02042 1.04054 1.06028 1.07946 1.09789 1.11542 1.13186 1.14708 1.16092 1.17326 1.18399 1.19299 1.20019 1.20552 1.20893 1.21039 1.20988 1.20741 1.203 1.19669 1.18855 1.17864 1.16707 1.15393 1.13937 1.12349 1.10647 1.08846 1.06962 1.05013 1.03018 1.00994 0.989613 0.969385 0.949442 0.929973 0.911158 0.893174 0.876187 0.860357 0.845831 0.832745 0.821222 0.811368 0.803276 0.797021 0.79266 0.790233 0.789758 0.79124 0.794667 0.800011 0.807223 0.816236 0.826964 0.83931 0.853156 0.868374 0.884821 0.902345 0.920782 0.939959 0.959697 0.979813 1.00012 
1.00397 1.00792 1.01178 1.01554 1.01916 1.02259 1.02582 1.0288 1.03152 1.03394 1.03604 1.03781 1.03922 1.04026 1.04093 1.04122 1.04111 1.04063 1.03976 1.03852 1.03691 1.03497 1.03269 1.03011 1.02725 1.02414 1.0208 1.01727 1.01358 1.00976 1.00585 1.00189 0.997907 0.993949 0.990048 0.986242 0.982565 0.979052 0.975736 0.972647 0.969815 0.967265 0.965022 0.963106 0.961535 0.960323 0.959481 0.959013 0.958921 0.959205 0.959866 0.960902 0.962302 0.964056 0.966146 0.968553 0.971255 0.974227 0.97744 0.980865 0.98447 0.988222 0.992084 0.996022 0.999998 
0.987487 0.975216 0.963177 0.951481 0.94024 0.929556 0.91953 0.910254 0.901817 0.894295 0.88776 0.882272 0.877883 0.874632 0.872552 0.87166 0.871965 0.873465 0.876145 0.879981 0.884937 0.890967 0.898014 0.906013 0.914889 0.924559 0.934934 0.945917 0.957405 0.969292 0.981465 0.993813 1.00622 1.01857 1.03075 1.04264 1.05413 1.06513 1.07551 1.08519 1.09408 1.10209 1.10915 1.11519 1.12015 1.124 1.12668 1.12818 1.12847 1.12755 1.12544 1.12216 1.11773 1.11221 1.10564 1.09809 1.08962 1.08032 1.07027 1.05956 1.0483 1.03659 1.02454 1.01227 0.999876 
0.971116 0.942748 0.914914 0.887875 0.861882 0.837178 0.813994 0.792546 0.773034 0.755641 0.740528 0.727837 0.717687 0.710172 0.705363 0.703304 0.704015 0.707488 0.713693 0.72257 0.734036 0.747986 0.764287 0.782789 0.803318 0.825684 0.849676 0.875071 0.901633 0.929113 0.957255 0.985797 1.01447 1.04301 1.07116 1.09864 1.1252 1.15059 1.17458 1.19694 1.21747 1.23596 1.25226 1.2662 1.27765 1.28651 1.2927 1.29614 1.29681 1.29471 1.28984 1.28227 1.27207 1.25932 1.24415 1.22671 1.20715 1.18566 1.16244 1.1377 1.11168 1.08462 1.05677 1.0284 0.999755 
0.955015 0.910815 0.867447 0.825316 0.784815 0.746323 0.710197 0.676777 0.646373 0.61927 0.595721 0.575946 0.56013 0.548421 0.540928 0.537721 0.53883 0.544245 0.553916 0.567751 0.585621 0.60736 0.632764 0.661596 0.693586 0.728437 0.765822 0.805392 0.846779 0.889596 0.933444 0.977913 1.02259 1.06706 1.1109 1.15371 1.19509 1.23464 1.27201 1.30685 1.33882 1.36763 1.39301 1.41472 1.43255 1.44635 1.45598 1.46134 1.46239 1.45911 1.45154 1.43975 1.42386 1.404 1.38038 1.35321 1.32275 1.28927 1.25309 1.21456 1.17402 1.13186 1.08847 1.04426 0.999636 
0.939335 0.879715 0.821219 0.76439 0.70976 0.657838 0.609109 0.564028 0.523017 0.486457 0.454692 0.428017 0.406683 0.390889 0.380782 0.376457 0.377954 0.38526 0.398306 0.41697 0.441077 0.470402 0.504671 0.543564 0.586717 0.633727 0.684156 0.737531 0.793357 0.85111 0.910254 0.970235 1.0305 1.09047 1.14961 1.20735 1.26315 1.31651 1.36691 1.41389 1.457 1.49586 1.53008 1.55936 1.58342 1.60202 1.615 1.62224 1.62365 1.61923 1.60902 1.59312 1.57169 1.54492 1.51306 1.47641 1.43532 1.39017 1.34138 1.28941 1.23473 1.17787 1.11935 1.05971 0.999521 
0.924221 0.84974 0.776661 0.705666 0.637417 0.572551 0.511673 0.455353 0.404117 0.358442 0.318757 0.285432 0.258778 0.239046 0.22642 0.221017 0.222889 0.232018 0.248317 0.271636 0.301755 0.338393 0.381207 0.429797 0.483709 0.54244 0.605441 0.672123 0.741865 0.814016 0.887902 0.962835 1.03811 1.11304 1.18691 1.25904 1.32876 1.39541 1.45837 1.51706 1.57092 1.61946 1.66221 1.69878 1.72883 1.75207 1.76828 1.77732 1.77908 1.77356 1.76081 1.74095 1.71418 1.68074 1.64094 1.59517 1.54384 1.48743 1.42648 1.36155 1.29325 1.22221 1.1491 1.0746 0.999409 
0.909815 0.821169 0.734191 0.649692 0.568462 0.491257 0.4188 0.351767 0.290784 0.23642 0.189186 0.149521 0.117797 0.0943115 0.0792835 0.0728537 0.0750822 0.0859481 0.10535 0.133105 0.168955 0.212563 0.263523 0.321357 0.385525 0.455428 0.530412 0.609778 0.692785 0.778658 0.866597 0.955781 1.04538 1.13455 1.22247 1.30832 1.39129 1.47062 1.54555 1.6154 1.6795 1.73727 1.78815 1.83168 1.86743 1.89509 1.91439 1.92514 1.92724 1.92067 1.9055 1.88187  1.85 1.8102 1.76284 1.70836 1.64727 1.58014 1.50759 1.43032 1.34902 1.26448 1.17747 1.0888 0.999304 
0.896252 0.794268 0.694204 0.596991 0.503538 0.414717 0.331357 0.254236 0.184076 0.121531 0.0671878 0.0215535 -0.0149444 -0.0419645 -0.059254 -0.066651 -0.0640865 -0.0515846 -0.0292625 0.00267093 0.0439167 0.0940888 0.152718 0.219256 0.293081 0.373502 0.45977 0.551078 0.646575 0.745369 0.846538 0.94914 1.05222 1.15481 1.25596 1.35472 1.45017 1.54143 1.62764 1.70799 1.78174 1.84819 1.90673 1.9568 1.99794 2.02976 2.05196 2.06433 2.06674 2.05918 2.04173 2.01455 1.97789 1.9321 1.87761 1.81494 1.74465 1.66742 1.58397 1.49506 1.40154 1.30427 1.20417 1.10216 0.999204 
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0.861837 0.72601 0.592738 0.463264 0.338796 0.220495 0.109467 0.00674775 -0.0867025 -0.17001 -0.242395 -0.303179 -0.351795 -0.387785 -0.410814 -0.420666 -0.417249 -0.400594 -0.370859 -0.328322 -0.273382 -0.206552 -0.128458 -0.0398318 0.058499 0.165615 0.280516 0.402129 0.529319 0.660899 0.795642 0.932292 1.06957 1.20621 1.34092 1.47245 1.59958 1.72112 1.83593 1.94295 2.04117 2.12968 2.20764 2.27433 2.32912 2.37149 2.40106 2.41753 2.42075 2.41069 2.38744 2.35124 2.30241 2.24143 2.16886 2.08538 1.99178 1.88892 1.77776 1.65936 1.5348 1.40526 1.27194 1.13608 0.998953 
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0.845163 0.692939 0.543578 0.398473 0.258978 0.126394 0.0019594 -0.113164 -0.217899 -0.311268 -0.392396 -0.460523 -0.515011 -0.555349 -0.581159 -0.592201 -0.58837 -0.569703 -0.536376 -0.4887 -0.427122 -0.35222 -0.264694 -0.165364 -0.0551586 0.0648926 0.193668 0.329964 0.47251 0.619976 0.770986 0.924132 1.07799 1.23111 1.38209 1.5295 1.67198 1.80819 1.93686 2.0568 2.16688 2.26607 2.35344 2.42818 2.48959 2.53708 2.57021 2.58867 2.59228 2.581 2.55495 2.51438 2.45966 2.39132 2.30998 2.21642 2.11151 1.99624 1.87166 1.73896 1.59937 1.45419 1.30477 1.15251 0.998832 
0.838959 0.680633 0.525285 0.374363 0.229275 0.0913761 -0.0380477 -0.157787 -0.266723 -0.363836 -0.448217 -0.519077 -0.575751 -0.617707 -0.644552 -0.656036 -0.652052 -0.632636 -0.597971 -0.548383 -0.484335 -0.406429 -0.315393 -0.212079 -0.0974541 0.0274107 0.161349 0.30311 0.451371 0.604748 0.761811 0.921096 1.08112 1.24038 1.39741 1.55073 1.69892 1.84059 1.97442 2.09917 2.21366 2.31682 2.4077 2.48544 2.5493 2.5987 2.63316 2.65236 2.65611 2.64439 2.61729 2.57509 2.51818 2.44709 2.3625 2.26519 2.15607 2.03617 1.90661 1.76858 1.62339 1.47239 1.31699 1.15863 0.998787 
0.834257 0.671307 0.511422 0.356092 0.206767 0.0648401 -0.0683643 -0.191602 -0.30372 -0.403671 -0.490518 -0.563449 -0.621779 -0.664961 -0.692591 -0.704411 -0.700309 -0.680326 -0.644648 -0.59361 -0.527691 -0.447507 -0.353811 -0.247479 -0.129505 -0.000991852 0.136859 0.282761 0.435353 0.59321 0.75486 0.918797 1.08349 1.24741 1.40902 1.56682 1.71934 1.86514 2.00289 2.13127 2.24911 2.35529 2.44882 2.52883 2.59456 2.6454 2.68087 2.70063 2.70449 2.69242 2.66453 2.6211 2.56252 2.48936 2.4023 2.30214 2.18984 2.06644 1.93309 1.79103 1.6416 1.48619 1.32625 1.16326 0.998752 
0.831102 0.665049 0.50212 0.343832 0.191664 0.0470334 -0.088708 -0.214293 -0.328547 -0.430402 -0.518904 -0.593225 -0.652666 -0.696671 -0.724828 -0.736872 -0.732692 -0.712328 -0.67597 -0.62396 -0.556784 -0.475073 -0.379591 -0.271233 -0.151011 -0.0200506 0.120426 0.269107 0.424605 0.585468 0.750197 0.917256 1.08509 1.25213 1.41681 1.57762 1.73304 1.88162 2.02199 2.15282 2.2729 2.3811 2.47641 2.55795 2.62493 2.67674 2.71288 2.73301 2.73695 2.72465 2.69623 2.65197 2.59228 2.51773 2.429 2.32694 2.2125 2.08675 1.95085 1.8061 1.65382 1.49545 1.33246 1.16637 0.998729 
0.829523 0.661917 0.497464 0.337696 0.184104 0.0381216 -0.0988895 -0.225649 -0.340972 -0.44378 -0.533111 -0.608127 -0.668124 -0.712541 -0.740961 -0.753118 -0.748899 -0.728344 -0.691645 -0.639148 -0.571344 -0.488868 -0.392493 -0.283121 -0.161774 -0.029588 0.112203 0.262275 0.419227 0.581595 0.747865 0.916486 1.08589 1.25449 1.42072 1.58303 1.7399 1.88987 2.03155 2.16361 2.28481 2.39402 2.49023 2.57252 2.64013 2.69242 2.7289 2.74922 2.7532 2.74078 2.7121 2.66742 2.60718 2.53192 2.44237 2.33935 2.22384 2.09691 1.95975 1.81364 1.65994 1.50008 1.33557 1.16793 0.998718 
0.829534 0.66194 0.497498 0.337742 0.18416 0.0381878 -0.0988138 -0.225565 -0.34088 -0.443681 -0.533005 -0.608016 -0.668009 -0.712423 -0.74084 -0.752996 -0.748777 -0.728223 -0.691528 -0.639034 -0.571234 -0.488764 -0.392396 -0.283031 -0.161692 -0.0295152 0.112266 0.262328 0.41927 0.581627 0.747886 0.916496 1.08589 1.25447 1.42069 1.58299 1.73985 1.88982 2.03149 2.16353 2.28473 2.39393 2.49013 2.57242 2.64002 2.69231 2.72878 2.7491 2.75308 2.74066 2.71198 2.66731 2.60707 2.53182 2.44227 2.33926 2.22376 2.09684 1.95968 1.81358 1.65989 1.50005 1.33554 1.16791 0.998717 
0.831136 0.665118 0.502222 0.343968 0.191831 0.0472311 -0.0884818 -0.21404 -0.328271 -0.430105 -0.518589 -0.592893 -0.652322 -0.696318 -0.724467 -0.736508 -0.732329 -0.711969 -0.675618 -0.623618 -0.556457 -0.474762 -0.3793 -0.270964 -0.150767 -0.0198329 0.120615 0.269266 0.424732 0.585563 0.750259 0.917284 1.08508 1.25209 1.41674 1.57751 1.7329 1.88146 2.02179 2.1526 2.27265 2.38083 2.47612 2.55763 2.6246 2.6764 2.71253 2.73266 2.73659 2.72429 2.69588 2.65163 2.59196 2.51742 2.42871 2.32667 2.21225 2.08652 1.95066 1.80593 1.65368 1.49535 1.33239 1.16633 0.998728 
0.834313 0.67142 0.511591 0.356316 0.207044 0.0651673 -0.06799 -0.191184 -0.303263 -0.403178 -0.489995 -0.5629 -0.62121 -0.664376 -0.691994 -0.703808 -0.699707 -0.67973 -0.644065 -0.593045 -0.527149 -0.446993 -0.353329 -0.247034 -0.1291 -0.000631335 0.137172 0.283025 0.435564 0.593367 0.754962 0.918843 1.08348 1.24734 1.4089 1.56665 1.71911 1.86487 2.00256 2.1309 2.2487 2.35484 2.44833 2.52831 2.59402 2.64483 2.68028 2.70003 2.70389 2.69183 2.66395 2.62054 2.56198 2.48885 2.40181 2.30169 2.18943 2.06607 1.93276 1.79076 1.64138 1.48602 1.32613 1.1632 0.99875 
0.839035 0.680789 0.525519 0.374673 0.229659 0.0918292 -0.0375291 -0.157208 -0.266089 -0.363153 -0.447492 -0.518316 -0.574961 -0.616894 -0.643724 -0.6552 -0.651216 -0.63181 -0.597162 -0.547599 -0.483583 -0.405716 -0.314725 -0.211462 -0.0968932 0.0279105 0.161783 0.303475 0.451663 0.604966 0.761953 0.92116 1.0811 1.24029 1.39724 1.55049 1.6986 1.8402 1.97397 2.09865 2.21308 2.3162 2.40703 2.48472 2.54855 2.59792 2.63236 2.65154 2.65529 2.64357 2.61649 2.57431 2.51743 2.44638 2.36183 2.26457 2.1555 2.03566 1.90616 1.7682 1.62308 1.47215 1.31683 1.15854 0.998783 
0.84526 0.693136 0.543874 0.398866 0.259464 0.126968 0.00261678 -0.11243 -0.217096 -0.310402 -0.391476 -0.459557 -0.514008 -0.554317 -0.580107 -0.591138 -0.587308 -0.568653 -0.535348 -0.487704 -0.426167 -0.351314 -0.263846 -0.164581 -0.0544466 0.0655267 0.194218 0.330427 0.472881 0.620252 0.771164 0.924212 1.07797 1.231 1.38187 1.52919 1.67158 1.8077 1.93629 2.05614 2.16615 2.26527 2.35258 2.42727 2.48863 2.53608 2.56919 2.58763 2.59123 2.57996 2.55393 2.51339 2.45871 2.39041 2.30913 2.21563 2.11079 1.99558 1.87109 1.73847 1.59897 1.45388 1.30456 1.1524 0.998826 
0.852928 0.708348 0.566487 0.42867 0.296181 0.170257 0.0520736 -0.0572661 -0.15674 -0.245417 -0.322468 -0.387171 -0.438919 -0.477227 -0.501737 -0.51222 -0.50858 -0.490851 -0.459199 -0.413919 -0.355435 -0.284297 -0.201168 -0.106827 -0.00215593 0.111867 0.234176 0.363629 0.499019 0.639082 0.782511 0.92797 1.0741 1.21954 1.36294 1.50295 1.63828 1.76765 1.88986 2.00378 2.10832 2.20253 2.28551 2.35649 2.41481 2.45991 2.49137 2.50889 2.51232 2.50161 2.47687 2.43834 2.38637 2.32146 2.24421 2.15535 2.0557 1.94621 1.82789 1.70185 1.56927 1.43137 1.28946 1.14484 0.99888 
0.861968 0.726281 0.593147 0.463808 0.33947 0.221293 0.11038 0.00776835 -0.0855842 -0.168804 -0.241113 -0.301833 -0.350396 -0.386345 -0.409345 -0.419182 -0.415766 -0.399128 -0.369424 -0.326932 -0.272048 -0.205288 -0.127275 -0.0387391 0.0594913 0.166498 0.281283 0.402772 0.529834 0.661281 0.795888 0.9324 1.06954 1.20604 1.34062 1.47202 1.59902 1.72043 1.83513 1.94203 2.04015 2.12856 2.20644 2.27305 2.32777 2.3701 2.39962 2.41607 2.41928 2.40923 2.38602 2.34986 2.30109 2.24017 2.16767 2.08428 1.99076 1.88801 1.77696 1.65868 1.53425 1.40483 1.27165 1.13593 0.998943 
0.872297 0.74677 0.623605 0.503952 0.388925 0.279599 0.176993 0.0820674 -0.0042922 -0.0812778 -0.148169 -0.204339 -0.249262 -0.282517 -0.303792 -0.312892 -0.309731 -0.294341 -0.266863 -0.227555 -0.176783 -0.115024 -0.0428558 0.0390477 0.12992 0.228913 0.3351 0.447492 0.565038 0.686643 0.811171 0.937461 1.06434 1.19061 1.31511 1.43667 1.55417 1.66649 1.7726 1.8715 1.96227 2.04405 2.1161 2.17772 2.22835 2.2675 2.29481 2.31002 2.313 2.3037 2.28222 2.24877 2.20365 2.1473 2.08023 2.00308 1.91657 1.82151 1.71878 1.60935 1.49424 1.37451 1.2513 1.12574 0.999015 
0.883817 0.769623 0.657578 0.548727 0.444086 0.344632 0.251292 0.164938 0.0863779 0.0163457 -0.0445031 -0.0955991 -0.136463 -0.166713 -0.186065 -0.194342 -0.191467 -0.177467 -0.152472 -0.116715 -0.0705296 -0.0143491 0.0513014 0.125808 0.208474 0.298528 0.395127 0.497371 0.604304 0.71493 0.828216 0.943105 1.05853 1.1734 1.28666 1.39725 1.50414 1.60632 1.70285 1.79282 1.87539 1.9498 2.01534 2.07139 2.11745 2.15306 2.17791 2.19175 2.19445 2.18599 2.16646 2.13602 2.09498 2.04371 1.9827 1.91252 1.83382 1.74734 1.65388 1.55433 1.44961 1.3407 1.22861 1.11438 0.999095 
0.896422 0.794627 0.694748 0.597717 0.504439 0.415785 0.332582 0.255608 0.18558 0.123156 0.0689171 0.0233726 -0.0130513 -0.0400134 -0.0572622 -0.0646389 -0.0620764 -0.0495979 -0.0273187 0.00455373 0.0457213 0.0957989 0.154318 0.220732 0.29442 0.374694 0.460803 0.551944 0.647266 0.745879 0.846865 0.94928 1.05217 1.15457 1.25554 1.35412 1.4494 1.54049 1.62654 1.70674 1.78035 1.84667 1.90509 1.95506 1.99611 2.02786 2.05001 2.06234 2.06475 2.05721 2.0398 2.01267 1.97608 1.93038 1.876 1.81343 1.74328 1.66619 1.58288 1.49414 1.40079 1.3037 1.20377 1.10195 0.999184 
0.909994 0.821549 0.73477 0.650465 0.569421 0.492396 0.420107 0.35323 0.29239 0.238155 0.191033 0.151465 0.119822 0.0963989 0.0814147 0.0750066 0.0772328 0.0880733 0.107428 0.135118 0.170884 0.214391 0.265233 0.322935 0.386956 0.4567 0.531515 0.610701 0.693522 0.779202 0.866944 0.955928 1.04532 1.1343 1.22202 1.30768 1.39046 1.46961 1.54437 1.61405 1.67801 1.73564 1.78639 1.82981 1.86548 1.89306 1.9123 1.92302 1.92511 1.91856 1.90343 1.87986 1.84807 1.80836 1.76111 1.70675 1.64579 1.57881 1.50643 1.42933 1.34822 1.26386 1.17704 1.08857 0.999279 
0.924407 0.850138 0.777269 0.706478 0.638426 0.573748 0.513049 0.456894 0.405809 0.360271 0.320706 0.287484 0.260916 0.24125 0.228671 0.223291 0.22516 0.234261 0.250511 0.27376 0.30379 0.340321 0.383011 0.431461 0.485219 0.543781 0.606603 0.673096 0.74264 0.814587 0.888265 0.962987 1.03806 1.11277 1.18643 1.25836 1.32788 1.39434 1.45712 1.51563 1.56934 1.61773 1.66035 1.69681 1.72676 1.74992 1.76607 1.77507 1.77683 1.77133 1.75862 1.73883 1.71214 1.67879 1.63911 1.59347 1.54228 1.48603 1.42525 1.3605 1.29239 1.22155 1.14865 1.07436 0.999381 
0.939526 0.880128 0.821849 0.765234 0.710809 0.659084 0.61054 0.565632 0.524779 0.488363 0.456723 0.430157 0.408913 0.393189 0.383131 0.378829 0.380324 0.3876 0.400594 0.419185 0.443199 0.472413 0.506552 0.545298 0.58829 0.635125 0.685366 0.738544 0.794164 0.851705 0.910631 0.970392 1.03043 1.09019 1.1491 1.20663 1.26223 1.31538 1.3656 1.4124 1.45535 1.49405 1.52814 1.5573 1.58125 1.59977 1.61269 1.61989 1.62129 1.61689 1.60673 1.5909 1.56955 1.54288 1.51115 1.47464 1.4337 1.38871 1.3401 1.28831 1.23384 1.17718 1.11887 1.05946 0.999489 
0.95521 0.911238 0.868095 0.826184 0.785895 0.747605 0.711671 0.678429 0.64819 0.621235 0.597817 0.578154 0.562431 0.550795 0.543352 0.54017 0.541275 0.546659 0.556275 0.570034 0.587809 0.609432 0.634702 0.663383 0.695207 0.729877 0.767069 0.806436 0.84761 0.890207 0.933831 0.978073 1.02252 1.06676 1.11038 1.15297 1.19413 1.23348 1.27065 1.3053 1.3371 1.36576 1.39099 1.41258 1.43031 1.44403 1.45359 1.45892 1.45996 1.4567 1.44917 1.43745 1.42165 1.4019 1.3784 1.35137 1.32106 1.28776 1.25176 1.21343 1.17309 1.13115 1.08798 1.044 0.999601 
0.971313 0.943178 0.915574 0.888758 0.862982 0.838485 0.815497 0.794232 0.774888 0.757646 0.742667 0.730092 0.720037 0.712597 0.707839 0.705805 0.706511 0.709953 0.716101 0.7249 0.736268 0.750099 0.766264 0.784612 0.804972 0.827153 0.850948 0.876135 0.90248 0.929736 0.957649 0.985958 1.0144 1.04271 1.07062 1.09787 1.12421 1.1494 1.17318 1.19536 1.21571 1.23404 1.25019 1.26401 1.27536 1.28413 1.29025 1.29366 1.29432 1.29224 1.28742 1.27992 1.2698 1.25716 1.24212 1.22483 1.20543 1.18411 1.16108 1.13654 1.11074 1.08389 1.05627 1.02813 0.999717 
0.987685 0.975649 0.963842 0.952373 0.94135 0.930876 0.921047 0.911957 0.903689 0.896321 0.889922 0.884551 0.880259 0.877084 0.875056 0.874188 0.874489 0.875955 0.878578 0.882335 0.887191 0.893101 0.90001 0.907853 0.916558 0.926043 0.936219 0.946992 0.958261 0.96992 0.981862 0.993974 1.00614 1.01826 1.0302 1.04186 1.05314 1.06391 1.0741 1.08359 1.0923 1.10014 1.10706 1.11297 1.11783 1.12158 1.1242 1.12566 1.12594 1.12505 1.12298 1.11977 1.11544 1.11002 1.10358 1.09618 1.08787 1.07875 1.06889 1.05839 1.04734 1.03585 1.02403 1.01199 0.999836 
1.00417 1.00835 1.01245 1.01643 1.02027 1.02391 1.02734 1.0305 1.03339 1.03597 1.03821 1.04009 1.0416 1.04272 1.04344 1.04375 1.04364 1.04312 1.04219 1.04087 1.03917 1.0371 1.03469 1.03195 1.02892 1.02562 1.02209 1.01834 1.01443 1.01039 1.00624 1.00205 0.997829 0.993633 0.989498 0.985462 0.981562 0.977834 0.974314 0.971033 0.968023 0.965311 0.962922 0.960879 0.9592 0.957902 0.956995 0.956488 0.956387 0.956691 0.957399 0.958503 0.959994 0.961857 0.964076 0.966631 0.969496 0.972647 0.976053 0.979683 0.983503 0.987478 0.991571 0.995743 0.999956 
1.02062 1.04097 1.06094 1.08034 1.09899 1.11672 1.13337 1.14877 1.16278 1.17527 1.18613 1.19525 1.20255 1.20796 1.21142 1.2129 1.21238 1.20988 1.20541 1.19902 1.19078 1.18075 1.16904 1.15576 1.14102 1.12496 1.10775 1.08952 1.07047 1.05075 1.03057 1.0101 0.989534 0.969069 0.948894 0.929196 0.91016 0.891962 0.874772 0.858751 0.844049 0.830802 0.819134 0.809154 0.800955 0.794614 0.79019 0.787724 0.787239 0.78874 0.792213 0.797625 0.804926 0.814047 0.824905 0.837396 0.851405 0.866802 0.883441 0.901169 0.919819 0.939219 0.959186 0.979535 1.00008 
1.03687 1.0732 1.10885 1.14349 1.17679 1.20844 1.23815 1.26564 1.29065 1.31294 1.33232 1.34859 1.36161 1.37125 1.37742 1.38006 1.37914 1.37468 1.36671 1.35531 1.34061 1.32272 1.30182 1.2781 1.2518 1.22314 1.1924 1.15986 1.12584 1.09064 1.0546 1.01805 0.981337 0.944795 0.908768 0.873593 0.839597 0.807099 0.776401 0.74779 0.721532 0.697874 0.677036 0.659213 0.64457 0.633246 0.625346 0.620944 0.62008 0.622764 0.628969 0.638638 0.651681 0.667975 0.687369 0.709681 0.734703 0.762201 0.791919 0.823578 0.856885 0.891527 0.927182 0.963517 1.00019 
1.05278 1.10475 1.15575 1.2053 1.25294 1.29821 1.34071 1.38003 1.4158 1.44769 1.4754 1.49868 1.51729 1.53108 1.5399 1.54367 1.54236 1.53598 1.52458 1.50829 1.48725 1.46167 1.43178 1.39785 1.36022 1.31922 1.27525 1.22871 1.18004 1.12969 1.07813 1.02584 0.973314 0.921036 0.869494 0.819171 0.770534 0.72404 0.68012 0.639185 0.601619 0.56777 0.537956 0.512456 0.491507 0.475306 0.464003 0.457706 0.456472 0.460312 0.469192 0.483028 0.501691 0.525006 0.552755 0.584679 0.62048 0.659823 0.70234 0.747636 0.795287 0.844848 0.895858 0.94784 1.00031 
1.06819 1.13532 1.2012 1.26519 1.32672 1.3852 1.44008 1.49086 1.53706 1.57825 1.61404 1.6441 1.66814 1.68595 1.69734 1.70221 1.70052 1.69227 1.67756 1.65652 1.62935 1.59631 1.5577 1.51389 1.46528 1.41233 1.35553 1.29542 1.23256 1.16752 1.10093 1.03339 0.965541 0.898015 0.83144 0.766439 0.703616 0.643559 0.586828 0.533953 0.485427 0.441705 0.403194 0.370254 0.343194 0.322267 0.307668 0.299533 0.29794 0.302903 0.314375 0.332248 0.356357 0.386474 0.42232 0.463558 0.509803 0.560623 0.615543 0.674052 0.735602 0.799619 0.865506 0.932649 1.00042 
1.08297 1.16463 1.24476 1.32261 1.39745 1.46858 1.53534 1.59711 1.65331 1.70341 1.74695 1.78351 1.81275 1.83441 1.84826 1.85419 1.85213 1.8421 1.82421 1.79862 1.76557 1.72537 1.67841 1.62512 1.56599 1.50158 1.43249 1.35937 1.2829 1.20379 1.12278 1.04062 0.958089 0.875947 0.794962 0.715889 0.639467 0.56641 0.497397 0.433075 0.374044 0.320855 0.274006 0.233935 0.201017 0.175558 0.157799 0.147904 0.145967 0.152004 0.165961 0.187705 0.217035 0.253674 0.297281 0.347448 0.403705 0.465528 0.532338 0.603513 0.678387 0.756262 0.836411 0.918087 1.00053 
1.09697 1.1924 1.28603 1.37701 1.46446 1.54759 1.6256 1.69779 1.76346 1.822 1.87288 1.9156 1.94977 1.97508 1.99127 1.99819 1.99579 1.98407 1.96316 1.93325 1.89464 1.84767 1.79279 1.73051 1.66141 1.58615 1.50541 1.41997 1.3306 1.23815 1.14348 1.04748 0.95103 0.855038 0.760399 0.667994 0.578687 0.493311 0.412662 0.337494 0.268508 0.20635 0.151601 0.104772 0.0663019 0.0365505 0.0157962 0.00423318 0.00196944 0.00902613 0.0253371 0.0507496 0.0850258 0.127845 0.178806 0.237433 0.303178 0.375426 0.453503 0.536678 0.624177 0.715182 0.808844 0.904291 1.00063 
1.11006 1.21837 1.32464 1.42788 1.52714 1.62148 1.71002 1.79194 1.86647 1.93292 1.99065 2.03914 2.07793 2.10664 2.12502 2.13288 2.13014 2.11685 2.09312 2.05918 2.01535 1.96205 1.89976 1.82908 1.75066 1.66524 1.57361 1.47663 1.37521 1.27029 1.16285 1.05389 0.944427 0.835483 0.728074 0.623201 0.521843 0.424946 0.333414 0.248101 0.169805 0.0992583 0.0371194 -0.01603 -0.0596925 -0.0934594 -0.117015 -0.130138 -0.132707 -0.124697 -0.106184 -0.0773408 -0.0384376 0.0101615 0.0680016 0.134542 0.20916 0.291158 0.379772 0.474172 0.573478 0.676763 0.783063 0.891388 1.00073 
1.12212 1.2423 1.36021 1.47476 1.58489 1.68956 1.78781 1.8787 1.96139 2.03512 2.09918 2.15298 2.19601 2.22787 2.24826 2.25698 2.25395 2.2392 2.21287 2.17521 2.12658 2.06744 1.99833 1.9199 1.8329 1.73812 1.63645 1.52885 1.41632 1.2999 1.18069 1.0598 0.938343 0.817465 0.69829 0.581928 0.469466 0.361953 0.260392 0.165732 0.0788568 0.000579184 -0.0683691 -0.127343 -0.17579 -0.213258 -0.239395 -0.253956 -0.256806 -0.247918 -0.227375 -0.19537 -0.152203 -0.0982778 -0.0340989 0.0397331 0.122528 0.213511 0.311833 0.416576 0.526762 0.641362 0.759308 0.879499 1.00081 
1.13305 1.26396 1.39241 1.51721 1.63718 1.75121 1.85823 1.95725 2.04734 2.12765 2.19744 2.25605 2.30293 2.33764 2.35985 2.36935 2.36605 2.34998 2.32129 2.28027 2.2273 2.16286 2.08758 2.00214 1.90735 1.8041 1.69335 1.57613 1.45354 1.32672 1.19685 1.06515 0.932835 0.801152 0.671323 0.544559 0.422043 0.304918 0.194277 0.0911537 -0.00348913 -0.0887664 -0.16388 -0.228128 -0.280909 -0.321727 -0.350201 -0.366064 -0.369169 -0.359485 -0.337105 -0.302237 -0.255209 -0.196461 -0.126543 -0.0461081 0.04409 0.143209 0.250322 0.364429 0.484466 0.609311 0.737801 0.868736 1.0009 
1.14273 1.28316 1.42096 1.55482 1.68352 1.80584 1.92065 2.02687 2.12351 2.20966 2.28452 2.34739 2.39768 2.43492 2.45874 2.46893 2.46539 2.44815 2.41738 2.37338 2.31655 2.24743 2.16667 2.07502 1.97334 1.86258 1.74377 1.61803 1.48652 1.35048 1.21117 1.06989 0.927955 0.786695 0.647426 0.511444 0.380018 0.254375 0.135687 0.0250627 -0.0764643 -0.167945 -0.248523 -0.317446 -0.374066 -0.417854 -0.4484 -0.465417 -0.468747 -0.458359 -0.43435 -0.396945 -0.346495 -0.283472 -0.208467 -0.122181 -0.0254215 0.080907 0.195811 0.318217 0.446984 0.580908 0.718741 0.859198 1.00097 
1.15108 1.29972 1.44557 1.58726 1.72348 1.85295 1.97447 2.0869 2.18918 2.28037 2.35961 2.42616 2.47939 2.5188 2.54402 2.5548 2.55105 2.53281 2.50024 2.45366 2.39351 2.32035 2.23487 2.13786 2.03024 1.913 1.78725 1.65415 1.51496 1.37096 1.22351 1.07397 0.923746 0.77423 0.62682 0.48289 0.343781 0.210793 0.085167 -0.0319249 -0.139388 -0.236218 -0.321509 -0.394462 -0.454393 -0.500742 -0.533074 -0.551087 -0.554611 -0.543615 -0.518202 -0.478609 -0.425208 -0.358499 -0.279108 -0.187776 -0.0853588 0.0271867 0.148809 0.278371 0.414665 0.556418 0.702308 0.850975 1.00103 
1.15802 1.31348 1.46602 1.61421 1.75668 1.8921 2.01919 2.13678 2.24376 2.33913 2.42201 2.49161 2.54728 2.5885 2.61487 2.62615 2.62223 2.60315 2.56909 2.52038 2.45746 2.38095 2.29154 2.19008 2.07751 1.9549 1.82337 1.68417 1.53859 1.38799 1.23377 1.07737 0.920249 0.763873 0.609698 0.459163 0.313671 0.17458 0.0431882 -0.079278 -0.191674 -0.292949 -0.382155 -0.458458 -0.521141 -0.569619 -0.603435 -0.622275 -0.625961 -0.614459 -0.587878 -0.546467 -0.490614 -0.420843 -0.337806 -0.242282 -0.135163 -0.0174513 0.109753 0.245262 0.387811 0.536069 0.688654 0.844143 1.00109 
1.16348 1.32431 1.48212 1.63543 1.78282 1.92291 2.0544 2.17605 2.28672 2.38539 2.47113 2.54313 2.60073 2.64337 2.67066 2.68233 2.67827 2.65853 2.62329 2.57289 2.50781 2.42865 2.33615 2.23118 2.11473 1.98788 1.85181 1.7078 1.55719 1.40139 1.24184 1.08004 0.917496 0.755719 0.59622 0.440485 0.289968 0.146073 0.0101418 -0.116555 -0.232835 -0.337609 -0.429898 -0.508837 -0.573688 -0.62384 -0.658826 -0.678316 -0.682129 -0.67023 -0.64273 -0.599888 -0.542104 -0.469921 -0.384015 -0.285189 -0.174369 -0.0525908 0.0790082 0.219199 0.366671 0.520051 0.677906 0.838765 1.00113 
1.16742 1.33212 1.49372 1.65072 1.80166 1.94512 2.07976 2.20434 2.31767 2.41872 2.50652 2.58025 2.63923 2.6829 2.71084 2.72279 2.71864 2.69842 2.66234 2.61073 2.54408 2.46301 2.36829 2.2608 2.14154 2.01164 1.8723 1.72483 1.5706 1.41104 1.24766 1.08197 0.915513 0.749846 0.58651 0.42703 0.272893 0.125536 -0.0136644 -0.143409 -0.262486 -0.369781 -0.464291 -0.545131 -0.611542 -0.662902 -0.698729 -0.718688 -0.722593 -0.710407 -0.682245 -0.638371 -0.579197 -0.505277 -0.417303 -0.3161 -0.202613 -0.0779044 0.0568606 0.200423 0.351444 0.508512 0.670164 0.834892 1.00116 
1.16979 1.33682 1.50071 1.65994 1.81301 1.9585 2.09505 2.22138 2.33633 2.4388 2.52784 2.60262 2.66244 2.70672 2.73506 2.74718 2.74296 2.72246 2.68587 2.63353 2.56593 2.48372 2.38766 2.27864 2.1577 2.02596 1.88465 1.73509 1.57867 1.41686 1.25117 1.08313 0.914318 0.746306 0.58066 0.418923 0.262604 0.113162 -0.0280087 -0.15959 -0.280353 -0.389167 -0.485015 -0.566999 -0.634351 -0.686438 -0.722772 -0.743014 -0.746974 -0.734615 -0.706055 -0.661559 -0.601547 -0.52658 -0.437361 -0.334724 -0.21963 -0.0931564 0.0435164 0.189111 0.342269 0.501561 0.665501 0.83256 1.00118 
1.17058 1.33838 1.50303 1.66299 1.81677 1.96293 2.10011 2.22703 2.34251 2.44545 2.53491 2.61003 2.67012 2.71461 2.74307 2.75525 2.75102 2.73042 2.69366 2.64108 2.57317 2.49057 2.39407 2.28455 2.16305 2.0307 1.88873 1.73848 1.58134 1.41879 1.25233 1.08351 0.913922 0.745134 0.578722 0.416239 0.259198 0.109066 -0.0327576 -0.164947 -0.286268 -0.395585 -0.491876 -0.574239 -0.641902 -0.69423 -0.730732 -0.751067 -0.755045 -0.742629 -0.713936 -0.669235 -0.608946 -0.533632 -0.444 -0.340889 -0.225263 -0.0982045 0.0391 0.185368 0.339234 0.499262 0.663959 0.831791 1.00119 
];
figure;
plot3(X,Y,U,'.b','MarkerSize',5);
title('N = 64, uy');
P = [-1.51196 -1.46927 -1.40002 -1.30679 -1.19304 -1.06302 -0.921568 -0.773955 -0.625679 -0.482266 -0.349061 -0.231028 -0.132568 -0.057353 -0.00818679 0.0130964 0.00570269 -0.0300918 -0.0929516 -0.180532 -0.289568 -0.415995 -0.555099 -0.701697 -0.850325 -0.995447 -1.13166 -1.25388 -1.35756 -1.43884 -1.49469 -1.52304 -1.52282 -1.49405 -1.43779 -1.35615 -1.25215 -1.12968 -0.993286 -0.84806 -0.699409 -0.552871 -0.413905 -0.287691 -0.178933 -0.0916854 -0.0292003 0.00619253 0.0131737 -0.00851686 -0.0580703 -0.133639 -0.232406 -0.350689 -0.484079 -0.627606 -0.77592 -0.923496 -1.06484 -1.19467 -1.30818 -1.40111 -1.47003 -1.51235 -1.5265 
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];
figure;
plot3(X,Y,P,'.b','MarkerSize',5);
title('N = 64, p');
E = [0.301677,0.00840476,0.000299365
];
figure;
plot(log2(E),'o-');
hold on;
E = [0.414178,0.0195737,0.000758481
];
plot(log2(E),'o-');
hold on;
legend('u','p');
title('Convergence rate');
T = [68.901,532.739,6344.96];
figure;
plot(T,'o-');
title('Time');
